Differentiation Question 56

Question: Differential coefficient of $ {{\sec }^{-1}}x $ is

[RPET 1995]

Options:

A) $ \frac{1}{x\sqrt{1-x^{2}}} $

B) $ -\frac{1}{x\sqrt{1-x^{2}}} $

C) $ \frac{1}{x\sqrt{x^{2}-1}} $

D) $ \frac{-1}{x\sqrt{x^{2}-1}} $

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Answer:

Correct Answer: C

Solution:

It is formula.