Free ordinary differential equations (ODE) calculator solve ordinary differential equations (ODE) stepbystepHow do you differentiate x^x?See the answer differentiate y=x^(1x) Best Answer 100% (2 ratings) Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculator
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How to differentiate x/x+1- f(x)=x, g(x)=sinx, z(x)=cosx use Product Rule Are those the right steps to differentiate the function and if they are how do I apply the Find an answer to your question if x/y y/x = 1 then find x^3 y ^3
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Recall that differentiating anything with y will cause dy dx to spit out thanks to the chain rule Differentiating gives d dx xy x d dx y = d dx x d dx y y x dy dx = 1 dy dx Grouping the dy dx terms x dy dx − dy dx = 1 −y Factoring dy dx (x − 1) = 1 −y dyCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyDifferentiate y=\frac{e^{x}}{1x} Our Discord hit 10K members!
Differentiate each of the following functions (a) Since f (x) = 5, f is a constant function;Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyAnswer to Implicitly differentiate the following with respect to x {x y^3} / {1 sec y} = 1 y^4 By signing up, you'll get thousands of
Differentiation y=a^x To find the derivative of y=a^x, we use the exact same steps as that used for differentiating y=e^x, and y=x^x as well Hence, if you did those earlier you should be able to do this one Just as before, you take the log on both sides This brings the x down from the power position, as shown on the RHSDifferentiation of xn mcTYdiffxtothen091 In this unit we derive the result, from first principles, that if y = xn then dy dx = nxn−1 The result is then illustrated with several examplesThere are two ways we can find the derivative of x^x It's important to notice that this function is neither a power function of the form x^k nor an exponential function of the form b^x, so we can't use the differentiation formulas for either of these cases directly (i) Let y=x^x, and take logarithms of both sides
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Differentiate y = tan –1 (√1 x 2 1/x) differentiation;So you really need to do a bit more work if you want to use the chain rule Basically, you need to start over, and find the derivative of f (x) = x^u, where u is some function of x, and you will find d/dx (x^u) = x^u (ln (x) (du/dx) u/x) So you find out, shockingly,A a x d y d x = a x x 2 a x − 1 a x x ln a d y d x = a x ( 1 x 2 a − 1 x ln a) d y d x = a x ( a x 2 x ln a a) However the answer in the back of the book is d y d x = a x ( 1 x ln
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Differentiate x^xy^x=1 dhanshirisarkar9 dhanshirisarkar9 Math Secondary School Differentiate x^xy^x=1 2 See answersIf y = x x and x > 0 then ln y = ln (x x) Use properties of logarithmic functions to expand the right side of the above equation as follows ln y = x ln x We now differentiate both sides with respect to x, using chain rule on the left side and the product rule on the right y '(1 / y) = ln x x(1 / x) = ln x 1 , where y ' = dy/dx Multiply both sides by y y ' = (ln x 1)y Substitute y by xEnter a function to differentiate (Eg x^4 90*x) Rules for Specifying Input Function 1 Use ^ for representing power values Eg Write input x 2 as x^2 2 Use ^ (1/2) for square root ,'*' for multiplication, '/' for division, '' for addition, '' for subtraction Eg1
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Calculating the derivative of x^x is a very simple task, but it may be hard to find the general idea on your own, so here it is We will need the following formula (where " \log " denotes the natural logarithm, which is often denoted " \ln " in nonmathematical literature) The trick is to Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queries Students (upto class 102) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (MainsAdvance) and NEET can ask questions from any subject and get quick answers byDifferentiate y=(x^(3)1)^(100) Watch 1 minute video Updated On 37 To keep watching this video solution for FREE, Download our App Join the 2 Crores Student community now!
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X x x 3e 2x 10xe 7e 2 − Questions (Quotient rule) Differentiate the following functions with respect to x 1 y = 1 x x2 − 2 y = cos x 4x 3 3 y = ( ) x 1 ln x 2 − 4 y = sinx cosx e2x (Solutions on page 10) Combinations Sometimes you may need to use a combination of the rules to differentiate a function 4 Example 1Differentiate Y=x^(1x) Question Differentiate Y=x^(1x) This problem has been solved!🎉 Meet students and ask top educators your questions
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Hence f ' (x) = 0 (b) With n = 15 in the power rule, f ' (x) = 15x 14 (c) Note that f (x) = x 1/2 Hence, with n = 1/2 in the power rule, (d) Since f (x) = x 1, it follows from the power rule that f ' (x) = x 2 = 1/x 2Free derivative calculator differentiate functions with all the steps Type in any function derivative to get the solution, steps and graphAnswer to Differentiate y = (x 1)^2 (x^2 1)^(3) By signing up, you'll get thousands of stepbystep solutions to your homework questions for Teachers for Schools for Working Scholars
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Differentiate y=\left(x^{2}1\right)^{3} Get certified as an expert in up to 15 unique STEM subjects this summer Ex 93, 1 Form a differential equation representing the given family of curves by eliminating arbitrary constants 𝑎 and 𝑏 𝑥𝑎 𝑦𝑏=1 Here , w Use logarithmic differentiation to get y'=(lnx11/x)x^(x1) Take the natural logarithm of both sides, to drop the exponent lny=(x1)lnx Now differentiate both sides with respect to x d/dx(lny=(x1)lnx) Note that this will require knowledge of implicit differentiation, because the derivative of lny wrtx is 1/y*y'
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Derivative of (x1)/ (x1) Derivative of (x1)/ (x1) Simple step by step solution, to learn Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework Below you can find the full step by step solution for you problem We hope it will be very helpful for you and it will help you to understand the solving processHowever it seems to have everyone puzzled I have seen some top ranking bloggers educated in the finest university in the land with top grades make a mess of this one The best way to bring the power of x down is to use the log trick, by taking the log on both sidesSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more
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First, let us consider the derivative (with respect to x) of xˣ (which I will write as x^x) Let y = x^x Then y = e^ln (x)^x = e^ ln (x)*x, where e is the base of natural logarithms Let u = ln (x)*x Then y = e^u So dy/du = e^u = y = x^x Also, by the product rule, du/dx = ln (x) *Differentiation x^x Differentiating y=x^x is simple;Watch Video in App This browser does not support the video element 243 k 12 k Answer
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Differentiate using the Power Rule which states that d d x x n d d x x n is n x n − 1 n x n 1 where n = 1 n = 1 x 1 − x ( 1 d d x 1) ( x 1) 2 x 1 x ( 1 d d x 1) ( x 1) 2 Since 1 1 is constant with respect to x x, the derivative of 1 1 with respect to x x is 0 0Share It On Facebook Twitter Email 1 Answer 1 vote answered by ManishaBharti (649k points) selected by faiz Best answer Let x = tan Ex 55, 6 Differentiate the functions in, (𝑥1/𝑥)^𝑥 𝑥^((1 1/𝑥) ) Let 𝑦= (𝑥1/𝑥)^𝑥 𝑥^((1 1/𝑥) ) Let 𝑢 = (𝑥1/𝑥)^𝑥
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Xxx(xx)(x1 logx(logx)2) y = xxx diffrentiate it wrt x dxdy = (elnxxx) ′ dxdy You want to differentiate x ↦ x x with respect to " x " You can not use the rule d d x ( x n) = n x n − 1 because here, " n " is depending on x What you are stated is correct, you have to use the identity x x = e x ln ( x) and then use the chain ruleFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor
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Let y = x x x a a x a a Also let, x x = u, x a = v, a x = w, and a a = s ∴ y = u v w s ⇒ d x d y = d x d u d x d v d x d w d x d s (1) u = x x ⇒ lo g u = lo g x x ⇒ lo g u = x lo g x Differentiating both sides with respect to x, we obtain u 1 d x d u = lo g x d x d (x) x d x d (lo g x) ⇒ d x d u = u lo g x 1 x x 1 ⇒ d x d u = x x lo g x 1 = x x (1 l o g x) (2) v = x a ∴ d x d vDifferentiate Y=X^X^X Hi Kunle, First you have to decide if this is y = x (x x) or y = (x x) x Rather than making a choice I want to look at y = x f(x) To differentiate this expression first take the natural logarithm of both sides to getFind a derivative help The differentiate command will carry out ordinary or partial differentiation on virtually any expression By default, the differentiate command treats all variables in the expression, apart from those you are differentiating by, as constants You can differentiate with respect to a variable n times by including a comma
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It helps you practice by showing you the full working (step by step differentiation) The Derivative Calculator supports computing first, second, , fifth derivatives as well as differentiating functions with many variables (partial derivatives), implicit differentiation and calculating roots/zeros You can also check your answers!Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreSteps to use the derivative calculator Enter function you would like to differentiate and pay attention to the syntax checker tooltip which would inform you if the function is misspelled Enter differentiation variable if it is different from the default value Choose degree of differentiation Click 'Compute' button
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Differentiate the equation y=x^2/(x 1) Latest Problem Solving in Differential Calculus (LIMITS & DERIVATIVES) More Questions in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES)Answer to Differentiatey = x tanh−1 √x Solutions for Chapter 5 Problem 42E Differentiatey = x tanh−1 √x Get solutions Get solutions Get solutions done loading Looking for the textbook?Differentiate both sides, dont forget to differentiate implicitly on the LHS Theres a general rule for equations of y = a^x, which isnt very difficult to generate I think you can put that one down as a quoteable differentiation in something like Edexcel C4 exam
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I was looking at results of different numbers in the equation \\sqrtx{x} and found out that the biggest result came when it was \\sqrte{e} I know this can be rewritten as x^{1/x} and that the gradient would be 0 at x = e How would you differentiate y = x^{1
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