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Popular >

derivative of 5/(x-2-2)

Solution

\frac{d}{d x} (\frac{5}{x - 2} - 2)

Solution

- \frac{5}{( x - 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{5}{x - 2} - 2)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{5}{x - 2}) - \frac{d}{d x} (2)

\frac{d}{d x} (\frac{5}{x - 2}) = - \frac{5}{( x - 2 ) ^{2}}

\frac{d}{d x} (2) = 0

= - \frac{5}{( x - 2 ) ^{2}} - 0

Simplify

= - \frac{5}{( x - 2 ) ^{2}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 5/(x-2-2) ?
The derivative of 5/(x-2-2) is -5/((x-2)^2)
What is the first derivative of 5/(x-2-2) ?
The first derivative of 5/(x-2-2) is -5/((x-2)^2)