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Popular >

derivative of f(x)=(x^5)/5+1/(12x^3)

Solution

derivative of

f (x) = \frac{x ^{5}}{5} + \frac{1}{12 x ^{3}}

Solution

x^{4} - \frac{1}{4 x ^{4}}

Solution steps

\frac{d}{d x} (\frac{x ^{5}}{5} + \frac{1}{12 x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{5}}{5}) + \frac{d}{d x} (\frac{1}{12 x ^{3}})

\frac{d}{d x} (\frac{x ^{5}}{5}) = x^{4}

\frac{d}{d x} (\frac{1}{12 x ^{3}}) = - \frac{1}{4 x ^{4}}

= x^{4} - \frac{1}{4 x ^{4}}

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(x^5)/5+1/(12x^3) ?
The derivative of f(x)=(x^5)/5+1/(12x^3) is x^4-1/(4x^4)
What is the first derivative of f(x)=(x^5)/5+1/(12x^3) ?
The first derivative of f(x)=(x^5)/5+1/(12x^3) is x^4-1/(4x^4)