What is the derivative of $\frac{32}{x}$ $32/x$ ?

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What is the derivative of $\frac{32}{x}$ $32/x$ ?

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Answer 1 · 2016-05-20T09:41:06

$- \frac{32}{x^{2}}$ $-32/x^2$

Explanation:

Begin by expressing $\frac{32}{x} = 32 x^{- 1}$ $32/x=32x^-1$

differentiate using the $power rule$ $color(blue)"power rule"$

$\frac{d}{d x} (a x^{n}) = n a x^{n - 1}$ $d/dx(ax^n)=nax^(n-1)$

$\Rightarrow \frac{d}{d x} (32 x^{- 1}) = - 1 \times 32 x^{- 2} = - \frac{32}{x^{2}}$ $rArrd/dx(32x^-1)=-1xx32x^-2=-32/x^2$

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What is the derivative of $\frac{32}{x}$ $32/x$ ?

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