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Popular Calculus >

derivative of 3/(2x+4)+9x^2

Solution

derivative of

\frac{3}{2 x + 4} + 9 x^{2}

Solution

- \frac{3}{2 ( x + 2 ) ^{2}} + 18 x

Solution steps

\frac{d}{d x} (\frac{3}{2 x + 4} + 9 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{3}{2 x + 4}) + \frac{d}{d x} (9 x^{2})

\frac{d}{d x} (\frac{3}{2 x + 4}) = - \frac{3}{2 ( x + 2 ) ^{2}}

\frac{d}{d x} (9 x^{2}) = 18 x

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

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 3/(2x+4)+9x^2 ?
The derivative of 3/(2x+4)+9x^2 is -3/(2(x+2)^2)+18x
What is the first derivative of 3/(2x+4)+9x^2 ?
The first derivative of 3/(2x+4)+9x^2 is -3/(2(x+2)^2)+18x