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Chapter 2: Q 27 (page 238)

Find a function fthat has the given derivative f' and value f(c)for

f'(x)=-32,f0=4

Short Answer

Expert verified

f(x)=-32x

Step by step solution

01

Step 1:Given information 

The given expression isf'(x)=-32,f0=4

02

Step 2:Simplification

given

f'(x)=-32

Since the derivative of -32xis -32

We will use an intelligent guess-and-check method to find f .

Hence,f(x)=-32x+C

Now

f(0)=4

localid="1651640893528" 鈬�4=-32路0+C

鈬�C=0

hence,f(x)=-32x

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