Question Detail

MTH 102 Differentiation Objective Question

Question

If \( h(t) = (at+b)^2 \), find the rate of change of \( N \) with respect to \( t \).
Options
A \( 2a^2t + 2ab \)
Correct Answer
B \( 2(at+b) \)
C \( a^2 \)
D 0
Correct Answer

Option A is the correct answer.

Detailed Explanation

( N = a^2t^2 + 2abt + b^2 ). Derivative: ( 2a^2t + 2ab ).

Hint

Differentiate either by expanding or using the chain rule.

Question Info