Question #3c6fa

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Question #3c6fa

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Answer 1 · 2017-12-05T19:30:38

$d/dy[1/y]=-1/y^2$

Explanation:

First rewrite the derivative as $d/dy[y^-1]$ . This makes it easy to use the power rule.

The power rule states that $d/dx[x^n]=nx^(n-1)$ where $n$ is a constant.

Applying the power rule, we get $d/dy[y^-1]=-1*y^(-1-1)=-y^-2$

Which we can rewrite as $-1/y^2$

Note: if you're being asked to take that derivative with respect to $x$ (i.e. $d/dx[1/y]$ ), you will need to use implicit differentiation. The only extra step, however, is to tag on a $dy/dx$ to the end of that expression.

Your final answer would then be $-1/y^2 [dy/dx]$

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Question #3c6fa

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