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Derivative of $$$\frac{1}{y}$$$
Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps
Your Input
Find $$$\frac{d}{dy} \left(\frac{1}{y}\right)$$$.
Solution
Apply the power rule $$$\frac{d}{dy} \left(y^{n}\right) = n y^{n - 1}$$$ with $$$n = -1$$$:
$${\color{red}\left(\frac{d}{dy} \left(\frac{1}{y}\right)\right)} = {\color{red}\left(- \frac{1}{y^{2}}\right)}$$Thus, $$$\frac{d}{dy} \left(\frac{1}{y}\right) = - \frac{1}{y^{2}}$$$.
Answer
$$$\frac{d}{dy} \left(\frac{1}{y}\right) = - \frac{1}{y^{2}}$$$A
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