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Consider the function f''(x)=sec^(4)x+4 ...

Consider the function `f''(x)=sec^(4)x+4` with `f(0)=0` and `f'(0)=0`
What is `f'(x)` equal to ?

A

`(2lnsecx)/(3)+(tan^(2)x)/(6)+2x^(2)`

B

`(3lnsecx)/(2)+(cot^(2)x)/(6)+2x^(2)`

C

`(4lnsecx)/(3)+(sec^(2))/(6)+2x^(2)`

D

`lnsecx+(tan^(2))/(12)+2x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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