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Popular >

derivative of (-3/(x-6)-2)

Solution

\frac{d}{d x} (\frac{- 3}{x - 6} - 2)

Solution

\frac{3}{( x - 6 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{- 3}{x - 6} - 2)

Simplify

\frac{- 3}{x - 6} - 2 : - \frac{3}{x - 6} - 2

= \frac{d}{d x} (- \frac{3}{x - 6} - 2)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{3}{x - 6}) - \frac{d}{d x} (2)

\frac{d}{d x} (\frac{3}{x - 6}) = - \frac{3}{( x - 6 ) ^{2}}

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

= - (- \frac{3}{( x - 6 ) ^{2}}) - 0

Simplify

= \frac{3}{( x - 6 ) ^{2}}

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\frac{d}{d x} (0.8 \cdot x^{4})

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\int x sin^{2} (x) cos^{3} (x) d x

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\int (4 x^{2} + 8 x + 5)^{6} (x + 1) d x

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\int \frac{1}{( x + 7 ) ( x ^{2} + 16 )} d x

Frequently Asked Questions (FAQ)

What is the derivative of (-3/(x-6)-2) ?
The derivative of (-3/(x-6)-2) is 3/((x-6)^2)
What is the first derivative of (-3/(x-6)-2) ?
The first derivative of (-3/(x-6)-2) is 3/((x-6)^2)