What is the derivative of (x^3)/6 ?

The derivative of (x^3)/6 is (x^2)/2

What is the first derivative of (x^3)/6 ?

The first derivative of (x^3)/6 is (x^2)/2

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derivative of

\frac{x ^{3}}{6}

\frac{x ^{2}}{2}

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{6})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{6} \frac{d}{d x} (x^{3})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{6} \cdot 3 x^{3 - 1}

Simplify

\frac{1}{6} \cdot 3 x^{3 - 1} : \frac{x ^{2}}{2}

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

\int x^{2} sin (3 x + 2) d x

\int \frac{1}{4 x} - 10 d x

in v erse l a pl a ce \frac{1}{s ^{1} ( s + 1 ) ^{3}}

a re a f (x) = x^{2} - 4, - 3, 1

t an g e n t f (x) = (25 - 0.075 x) x, at x = 100

What is the derivative of (x^3)/6 ?
The derivative of (x^3)/6 is (x^2)/2
What is the first derivative of (x^3)/6 ?
The first derivative of (x^3)/6 is (x^2)/2