Question Detail

MTH 102 Differentiation Objective Question

Question

Find \( dy/dx \) for \( y = \sin(x^2) \).
Options
A \( 2x \cos(x^2) \)
Correct Answer
B \( \cos(x^2) \)
C \( 2x \sin(x^2) \)
D \( -2x \cos(x^2) \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Chain rule: derivative of sine is cosine, then multiply by derivative of ( x^2 ).

Hint

Identify the inner and outer functions for the chain rule.

Question Info