What is the derivative of ((x^4}{12}+\frac{(x^3))/3) ?

The derivative of ((x^4}{12}+\frac{(x^3))/3) is (x^3)/3+x^2

What is the first derivative of ((x^4}{12}+\frac{(x^3))/3) ?

The first derivative of ((x^4}{12}+\frac{(x^3))/3) is (x^3)/3+x^2

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\frac{d}{d x} (\frac{( x ^{4} )}{12} + \frac{( x ^{3} )}{3})

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

Solution steps

\frac{d}{d x} (\frac{( x ^{4} )}{12} + \frac{( x ^{3} )}{3})

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{x ^{3}}{3} + x^{2}

What is the derivative of ((x^4}{12}+\frac{(x^3))/3) ?
The derivative of ((x^4}{12}+\frac{(x^3))/3) is (x^3)/3+x^2
What is the first derivative of ((x^4}{12}+\frac{(x^3))/3) ?
The first derivative of ((x^4}{12}+\frac{(x^3))/3) is (x^3)/3+x^2