Question Detail

MTH 102 Differentiation Objective Question

Question

What is the derivative of \( y = 1/x^2 \)?
Options
A \( -2/x^3 \)
Correct Answer
B \( 2/x^3 \)
C \( -2x \)
D \( 1/2x \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y = x^{-2} \implies y' = -2x^{-3} = -2/x^3 ).

Hint

Apply the power rule for negative exponents.

Question Info