Question Detail

MTH 102 Differentiation Objective Question

Question

Evaluate \( d/dz(1/4 z^2 - 1/z) \).
Options
A \( 1/2 z + 1/z^2 \)
Correct Answer
B \( 1/2 z - 1/z^2 \)
C 1/2 z
D \( 1/z^2 \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( d/dz(1/4 z^2) = 1/2 z ) and ( d/dz(-z^{-1}) = 1z^{-2} = 1/z^2 ).

Hint

Apply the power rule to each term individually.

Question Info