   Chapter 2.8, Problem 10E

Chapter
Section
Textbook Problem

# Suppose 4 x 2 +   9 y 2 =   36 , where x and y are functions of t.(a) If d y / d t = 1 3 , find dx/dt when x   = 2 and y = 2 3 5 .(b) If dx/dt= 3, find dy/dt when x = − 2 and y = 2 3 5

To determine

a)

To find:

dxdt

Explanation

1. Formula:

i. Power rule of differentiation:

ddxxn=nxn-1

ii. Sum rule of differentiation:

ddxfx+gx=ddxfx+ddxgx

iii. Chain rule of differentiation:

ddtfx=ddxfx*dxdt

2. Given:

i.

dydt=13 x = 2 and y=235

ii

To determine

b)

To find:

dy dt

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