find the derivative by using the definition of a derivativef(x)=4x^2+1

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find the derivative by using the definition of a derivative
f(x)=4x^2+1

Expert Solution
Step 1

Formula used:

The derivative of f(x) with respect to x is the function f'(x) is

 

Calculus homework question answer, Step 1, Image 1
Step 2

We have

f(x)= 4x2 +1

So f(x+h) = 4(x+h)2 + 1

 

 

Step 3

Using defination of derivative

 

Calculus homework question answer, Step 3, Image 1
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