   Chapter 11.4, Problem 57E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 51-66, compute the indicated derivative using the chain rule. [HINT: See Quick Example 3, 6, and 7.] y = x 2 , x ≥ 0 ; d x d y

To determine

To calculate: The derivative dxdy of y=x2,x0 using chain rule.

Explanation

Given Information:

The provided function is y=x2,x0.

Formula used:

Derivative of function x with respect to y using manipulating derivatives in differential notation is dxdy=1(dydx), where  x is the differential function of y given that dydx0.

Calculation:

Consider the function, y=x2 where x0

Rewrite the function y=x2 as x=y1/2.

Compute the derivative for y=x2,

dydx=ddx(x2)

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