   Chapter 11, Problem 10T ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Let x 2 + y 2 = 100 If d x d t = 2 , find d y d t when x = 6 and y = 8.

To determine

To calculate: The value of dydt, if dxdt=2 when x=6 and y=8 and the given equation is x2+y2=100.

Explanation

Given Information:

The provided equation is x2+y2=100.

The provided values are dxdt=2, when x=6 and y=8.

Formula Used:

The power rule of the differentiation:

ddx(xn)=nxn1

Calculation:

The provided expression is x2+y2=100,

Differentiate the function with respect to t,

ddt(x2+y2)=ddt(100)ddt(x2)+ddt(y2)=0

Apply the power rule of derivative:

2xdx

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