   Chapter 4.9, Problem 9E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Find the most general antiderivative of the function. (Check your answer by differentiation.) f ( x ) = 2

To determine

To find: The most general antiderivative of the function f(x)=2 and check the determined antiderivative for the function f(x)=2 by differentiation.

Explanation

Formula used:

The antiderivative function for the function xn is xn+1n+1+C.

Here, C is the constant.

ddx(xn)=nxn1ddx(constant)=0

Calculation:

Rewrite the function f(x)=2 as follows.

f(x)=2x0 (1)

From the antiderivative function formula, the antiderivative function for the function in equation (1) is written as follows.

F(x)=2(x0+10+1)+C=2x+C

Thus, the most general antiderivative of the function f(x)=2 is 2x+C_

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