|
|
|
|
|
|
|
|
|
|
|
|
Derivative of $$$\frac{1}{u}$$$
Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps
Your Input
Find $$$\frac{d}{du} \left(\frac{1}{u}\right)$$$.
Solution
Apply the power rule $$$\frac{d}{du} \left(u^{n}\right) = n u^{n - 1}$$$ with $$$n = -1$$$:
$${\color{red}\left(\frac{d}{du} \left(\frac{1}{u}\right)\right)} = {\color{red}\left(- \frac{1}{u^{2}}\right)}$$Thus, $$$\frac{d}{du} \left(\frac{1}{u}\right) = - \frac{1}{u^{2}}$$$.
Answer
$$$\frac{d}{du} \left(\frac{1}{u}\right) = - \frac{1}{u^{2}}$$$A
Please try a new game Rotatly