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

The derivative of (x^3/(12)) is (x^2)/4

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

The first derivative of (x^3/(12)) is (x^2)/4

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

\frac{x ^{2}}{4}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= \frac{1}{12} \cdot 3 x^{3 - 1}

Simplify

\frac{1}{12} \cdot 3 x^{3 - 1} : \frac{x ^{2}}{4}

= \frac{x ^{2}}{4}

d er i v a t i v e \frac{1}{2} (9 t^{2} + t)^{- 3}

\int_{0}^{1} x^{2} + x d x

y^{^{''}} + y = 0, y (0) = 0

\frac{d}{d r} (4 - r^{2})

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

What is the derivative of (x^3/(12)) ?
The derivative of (x^3/(12)) is (x^2)/4
What is the first derivative of (x^3/(12)) ?
The first derivative of (x^3/(12)) is (x^2)/4