Find the derivative.
-$$w = z ^ { - 2 } - \frac { 1 } { z }$$

Name: Find the derivative. -\[w = z ^ { - 2 } - \frac { 1 } { z }\]
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Question

Quizplus · Accepted Answer

We use the power rule for derivatives and the derivative of $\frac{1}{z}$ is $-\frac{1}{z^2}$, so the derivative of the given function is:
$$w' = -2z^{-3} + \frac{1}{z^2}$$
which simplifies to:
$$w' = -\frac{2}{z^3} + \frac{1}{z^2}$$
And the closest answer choice is (D).

Find the Derivative w=z−2−1zw = z ^ { - 2 } - \frac { 1 } { z }w=z−2−z1​

Find the Derivative $w = z ^ { - 2 } - \frac { 1 } { z }$