Question

If f(x) = x² + 1, find f'(2) from the first.principle.

Answer 1

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Answer 2

Answer:

f'(2) = 4

Step-by-step explanation:

If f(x) = x² + 1, find f'(2) from the first.principle.

f(x) = x² + 1

to find the value of f'(2) , first we need to find f'(x)

f'(x) = 2x

Now to find value of f'(2) , we need to put x = 2 in f'(x)

putting x = 2

f'(x) = 2x

f'(2) = 2 * 2

=> f'(2) = 4

f'(2) = 4 if f(x) = x² + 1