Question Detail

MTH 102 Differentiation Objective Question

Question

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

Option A is the correct answer.

Detailed Explanation

( y = x^{-1/2} \implies y' = -\frac{1}{2}x^{-3/2} ).

Hint

Write as a power before using the power rule.

Question Info