Question Detail

MTH 102 Differentiation Objective Question

Question

Evaluate \( d/dx(x^2 \sin x) \).
Options
A \( 2x \sin x + x^2 \cos x \)
Correct Answer
B \( 2x \cos x \)
C \( x^2 \cos x \)
D \( 2x \sin x \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Product rule: ( (x^2)'\sin x + x^2(\sin x)' = 2x \sin x + x^2 \cos x ).

Hint

Use the product rule for these two variable terms.

Question Info