Question Detail

MTH 102 Differentiation Objective Question

Question

What is the derivative of \( y = \frac{1}{x^2+4} \)?
Options
A \( -2x / (x^2+4)^2 \)
Correct Answer
B \( 2x / (x^2+4)^2 \)
C \( 1 / (x^2+4)^2 \)
D \( -1 / (x^2+4) \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Quotient rule or chain rule on ( (x^2+4)^{-1} ).

Hint

Apply the chain rule to the expression in the denominator.

Question Info