   Chapter 11.4, Problem 65E 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 = t 2 + 2 t , y = t 3 ; d x d y | t = 1

To determine

To calculate: The derivative dydx|t=1 of the functions y=t3,x=t2+2t.

Explanation

Given Information:

The provided functions are y=t3,x=t2+2t.

Formula used:

Derivative of function y with respect to x using chain rule in differential notation is dydx=dydtdxdt where x and y is the differentiable function of t.

Calculation:

Consider the functions, y=t3,x=t2+2t

Apply the chain rule,

dydx=ddt(t3)ddt(t2+2t)<

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