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What is the derivative of -5/x?

1 Answer

Aug 17, 2016

$\frac{d y}{d x} = \frac{5}{x^{2}}$ $dy/dx=5/x^2$

Explanation:

Let

$y = \frac{- 5}{x}$ $y=(-5)/x$

This can be written as -

$y = - 5 x^{- 1}$ $y=-5 x^-1$

$\frac{d y}{d x} = 5 x^{- 2}$ $dy/dx=5x^-2$

$\frac{d y}{d x} = \frac{5}{x^{2}}$ $dy/dx=5/x^2$

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