Question Detail

MTH 102 Differentiation Objective Question

Question

What is the derivative of \( y = 3x^2 + 2 \) with respect to \( x \)?
Options
A \( 6x + 2 \)
B \( 6x \)
Correct Answer
C \( 3x \)
D \( 6 \)
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using the power rule, the derivative of ( x^n ) is ( nx^{n-1} ). For ( 3x^2 ), it is ( 3 \cdot 2x = 6x ). The derivative of a constant like 2 is 0.

Hint

Apply the power rule to each term individually.

Question Info