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Popular >

derivative of (16/((5-x)^2)-1)

Solution

\frac{d}{d x} (\frac{16}{( 5 - x ) ^{2}} - 1)

Solution

\frac{32}{( - x + 5 ) ^{3}}

Solution steps

\frac{d}{d x} (\frac{16}{( 5 - x ) ^{2}} - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{16}{( 5 - x ) ^{2}}) - \frac{d}{d x} (1)

\frac{d}{d x} (\frac{16}{( 5 - x ) ^{2}}) = \frac{32}{( 5 - x ) ^{3}}

\frac{d}{d x} (1) = 0

= \frac{32}{( 5 - x ) ^{3}} - 0

Simplify

= \frac{32}{( - x + 5 ) ^{3}}

Popular Examples

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\int_{0}^{4} 16 - x^{2} d x

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Frequently Asked Questions (FAQ)

What is the derivative of (16/((5-x)^2)-1) ?
The derivative of (16/((5-x)^2)-1) is (32)/((-x+5)^3)
What is the first derivative of (16/((5-x)^2)-1) ?
The first derivative of (16/((5-x)^2)-1) is (32)/((-x+5)^3)