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Popular >

derivative of-9/((x+1^2)+1)

Solution

\frac{d}{d x} (- \frac{9}{( x + 1 ) ^{2}} + 1)

Solution

\frac{18}{( x + 1 ) ^{3}}

Solution steps

\frac{d}{d x} (- \frac{9}{( x + 1 ) ^{2}} + 1)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{9}{( x + 1 ) ^{2}}) + \frac{d}{d x} (1)

\frac{d}{d x} (\frac{9}{( x + 1 ) ^{2}}) = - \frac{18}{( x + 1 ) ^{3}}

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

= - (- \frac{18}{( x + 1 ) ^{3}}) + 0

Simplify

= \frac{18}{( x + 1 ) ^{3}}

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Frequently Asked Questions (FAQ)

What is the derivative of-9/((x+1^2)+1) ?
The derivative of-9/((x+1^2)+1) is (18)/((x+1)^3)
What is the first derivative of-9/((x+1^2)+1) ?
The first derivative of-9/((x+1^2)+1) is (18)/((x+1)^3)