Question Detail

MTH 102 Differentiation Objective Question

Question

Derivative of \( y = \sin^{-1} x \) is?
Options
A \( 1 / \sqrt{1 - x^2} \)
Correct Answer
B \( 1 / (1 + x^2) \)
C \( \cos^{-1} x \)
D \( -1 / \sqrt{1 - x^2} \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Standard derivative of inverse sine is ( 1 / \sqrt{1 - x^2} ).

Hint

This is a basic formula for inverse trigonometric functions.

Question Info