-ZN-9uF1Hp8Dp4eGlhs11dOCIFg659ipWA/formResponseKClear selThe derivative of the given implicit function isx In y+ y In x = In xy2-x² In y- yy :x2 - y2 In x - 2y – y3 - 2x²y In yx3 + 2xy2 In x- x%3DMy-y-xy In yy =x2 - x+ xy In xNone of the abovehp75TO173.50WaleF8Back520SpaceIns

The equation is given by x2lny+y2lnx = lnxy To evaluate: The expression of dydx

Answered: The derivative of the given implicit…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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x² + 1 What is the derivative of y= x2 +4 (A None of the given choices 10x В (x²+ 4)² -6x (x²+4)? 6x D x2 + 4 6x (E (x²+ 4)²
Consider the following. 2x f(x) x + 2 Use a computer algebra system to find the derivative of the function. Then use the utility to graph the function and its derivative on the same set of coordinate axes. O y y 2- 0 --2 0 -1- 1 1 2 f(x) f(x) 2 3 3 X 4 O f' is never zero. O f approaches √2 when f' is zero. Of approaches -√2 when f' is zero. 4 5 f'(x) f'(x) 5 0 -1- Describe the behavior of the function when the derivative is zero. Of approaches to when f' is zero. O 3¹¹f'(x) 0.5 3 f'(x) 0 0.5 1 to X 2 1.5 2 X 2.5 f(x) f(x) 2.5 3
Q.5 Show that both of the functions f(x)=(x-1) and g(x)=x – 3x +3x-2 have stationary points at x = 1.What does the first and second derivative test tell about the nature of these stationary points?
3. Consider the function p(x) = (2x³ − 4x +3) 6. A. If ƒ(x) = 2x³ — 4x + 3 and g(x) = x6, then function p is equal to exactly one of the following: f og or go f. Which is it? Explain. B. Thinking of function p as the appropriate composition of functions from Part A, apply the chain rule for derivatives to compute an expression for p'(x). C. Using the chain rule for the derivative computation in Part B is much more efficient than distributing out the product of the six polynomials multiplied in the original expression of f, simplifying that result, and then computing the derivative of that simplified result using the technique from Exercise 1A. Explain. (Please do not waste your time performing this beastly computation, just explain why it would be much more computationally intensive than what was done in Part B.
This question.

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The derivative of the given implicit function is x* In y+ y In x In xy 2-x In y- y x2 - y? In x- 2 y- y3- 2x²y In y x3 + 2xy2 In x - x %3D O M y-y-xy ln y y x2 - x+ xyIn x None of the above