What is the derivative of 3/(x^2+10x^3-2sin(3x)) ?

The derivative of 3/(x^2+10x^3-2sin(3x)) is -6/(x^3)+30x^2-6cos(3x)

What is the first derivative of 3/(x^2+10x^3-2sin(3x)) ?

The first derivative of 3/(x^2+10x^3-2sin(3x)) is -6/(x^3)+30x^2-6cos(3x)

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Popular >

\frac{d}{d x} (\frac{3}{x ^{2}} + 10 x^{3} - 2 sin (3 x))

- \frac{6}{x ^{3}} + 30 x^{2} - 6 cos (3 x)

Solution steps

\frac{d}{d x} (\frac{3}{x ^{2}} + 10 x^{3} - 2 sin (3 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{3}{x ^{2}}) + \frac{d}{d x} (10 x^{3}) - \frac{d}{d x} (2 sin (3 x))

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

\frac{d}{d x} (10 x^{3}) = 30 x^{2}

\frac{d}{d x} (2 sin (3 x)) = 6 cos (3 x)

= - \frac{6}{x ^{3}} + 30 x^{2} - 6 cos (3 x)

\int \frac{8}{7 + 8 x} d x

f (x) = - x^{2} + 4, y + 2 x - 4 = 0

7 - 3 x

\int_{\frac{1}{2}}^{2} \frac{1}{x ^{2}} d x

e^{x}, e^{4 x}, [0, 1]

What is the derivative of 3/(x^2+10x^3-2sin(3x)) ?
The derivative of 3/(x^2+10x^3-2sin(3x)) is -6/(x^3)+30x^2-6cos(3x)
What is the first derivative of 3/(x^2+10x^3-2sin(3x)) ?
The first derivative of 3/(x^2+10x^3-2sin(3x)) is -6/(x^3)+30x^2-6cos(3x)