Question Detail

MTH 102 Differentiation Objective Question

Question

Differentiate \( y = \sin^2 x \).
Options
A \( 2\sin x \cos x \)
Correct Answer
B \( 2\sin x \)
C \( \cos^2 x \)
D \( \sin 2x \text{ (same as A)} \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Chain rule: ( 2 \sin x \cdot (\cos x) ).

Hint

Apply the chain rule to the power and the inner sine function.

Question Info