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Popular >

derivative of 5tan(2x^3+2/(x^2))

Solution

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

Solution

30 x^{2} sec^{2} (2 x^{3}) - \frac{4}{x ^{3}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (5 tan (2 x^{3})) = 30 x^{2} sec^{2} (2 x^{3})

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

= 30 x^{2} sec^{2} (2 x^{3}) - \frac{4}{x ^{3}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 5tan(2x^3+2/(x^2)) ?
The derivative of 5tan(2x^3+2/(x^2)) is 30x^2sec^2(2x^3)-4/(x^3)
What is the first derivative of 5tan(2x^3+2/(x^2)) ?
The first derivative of 5tan(2x^3+2/(x^2)) is 30x^2sec^2(2x^3)-4/(x^3)