Differentiation Question 79

Question: The derivative of tanx - x with respect to x is

[SCRA 1996]

Options:

A) $ 1-{{\tan }^{2}}x $

B) tan x

C) $ -{{\tan }^{2}}x $

D) $ {{\tan }^{2}}x $

Show Answer

Answer:

Correct Answer: D

Solution:

$ f’(x)={{\sec }^{2}}x-1={{\tan }^{2}}x $ .