What is the derivative of (x^5/5+1/(12x^3)) ?

The derivative of (x^5/5+1/(12x^3)) is x^4-1/(4x^4)

What is the first derivative of (x^5/5+1/(12x^3)) ?

The first derivative of (x^5/5+1/(12x^3)) is x^4-1/(4x^4)

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

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}}

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