   Chapter 4.6, Problem 11E

Chapter
Section
Textbook Problem

# In Exercises 11-30, find the indicated derivative using implicit differentiation. [HINT: See Example 1.] x 2 + y 2 = 5 ; d y d x

To determine

To calculate: The value of dydx for the equation x2+y2=5 using the implicit differentiation.

Explanation

Given Information:

The provided equation is x2+y2=5.

Formula used:

The derivative of function f(x)=un using the chain rule is f(x)=ddx(un)=nun1dudx, where u is the function of x.

Calculation:

Consider the provided equation,

x2+y2=5

Take ddx of both sides of the above equation,

ddx(x2+y2)=ddx(5)ddx(x2)+ddx(y2)=ddx(5)

Apply the chain rule to the function (y2)

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