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In Exercises 59–63, find a function f that has the given derivative f'. In each case you can find the answer with an educated guess-and-check process.

f'(x)=xx2+3

Short Answer

Expert verified

The required function is f(x)=12log(x2+3)

Step by step solution

01

Step 1. Given Information  

The given derivative isf'(x)=xx2+3

02

Step 2. Calculation  

We will use a targeted guess and check method to find an antiderivative of given derivative.

ddxf(x)=ddxlog(x2+3)·12=xx2+3

Thus, we get the required function.

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