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Popular >

derivative of 3/(4x+6)+4x^2

Solution

derivative of

\frac{3}{4 x + 6} + 4 x^{2}

Solution

- \frac{3}{( 2 x + 3 ) ^{2}} + 8 x

Solution steps

\frac{d}{d x} (\frac{3}{4 x + 6} + 4 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{3}{4 x + 6}) + \frac{d}{d x} (4 x^{2})

\frac{d}{d x} (\frac{3}{4 x + 6}) = - \frac{3}{( 2 x + 3 ) ^{2}}

\frac{d}{d x} (4 x^{2}) = 8 x

= - \frac{3}{( 2 x + 3 ) ^{2}} + 8 x

Popular Examples

integral of (20x+7)

\int (20 x + 7) d x

limit as x approaches 2 of (4-x^2)/(x+2)

x \to 2 lim (\frac{4 - x ^{2}}{x + 2})

tangent of f(x)=2x^2+10x+9,\at x=-3 tangent of

f (x) = 2 x^{2} + 10 x + 9, at x = - 3

inverse oflaplace ((s+5))/((s+6)(s+10))inverse laplace

\frac{( s + 5 )}{( s + 6 ) ( s + 10 )}

sum from n=0 to infinity of n/(n^2+4)

n = 0 \sum \infty \frac{n}{n ^{2} + 4}

Frequently Asked Questions (FAQ)

What is the derivative of 3/(4x+6)+4x^2 ?
The derivative of 3/(4x+6)+4x^2 is -3/((2x+3)^2)+8x
What is the first derivative of 3/(4x+6)+4x^2 ?
The first derivative of 3/(4x+6)+4x^2 is -3/((2x+3)^2)+8x