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Popular Calculus >

derivative of 6/((x+5^2)-3)

Solution

\frac{d}{d x} (\frac{6}{( x + 5 ) ^{2}} - 3)

Solution

- \frac{12}{( x + 5 ) ^{3}}

Solution steps

\frac{d}{d x} (\frac{6}{( x + 5 ) ^{2}} - 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{6}{( x + 5 ) ^{2}}) - \frac{d}{d x} (3)

\frac{d}{d x} (\frac{6}{( x + 5 ) ^{2}}) = - \frac{12}{( x + 5 ) ^{3}}

\frac{d}{d x} (3) = 0

= - \frac{12}{( x + 5 ) ^{3}} - 0

Simplify

= - \frac{12}{( x + 5 ) ^{3}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 6/((x+5^2)-3) ?
The derivative of 6/((x+5^2)-3) is -(12)/((x+5)^3)
What is the first derivative of 6/((x+5^2)-3) ?
The first derivative of 6/((x+5^2)-3) is -(12)/((x+5)^3)