Question Detail

MTH 102 Differentiation Objective Question

Question

Find \( dy/dx \) if \( y = (x^2+2x+1)(x^3+3x) \).
Options
A \( (2x+2)(x^3+3x) + (x^2+2x+1)(3x^2+3) \)
Correct Answer
B \( (2x+2)(3x^2+3) \)
C \( 5x^4 + 6x^2 + 3 \)
D \( 6x^5 \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Product rule result from Source 2 Exercise (11).

Hint

Identify functions \( u \) and \( v \) for the product rule.

Question Info