What is the derivative of (x^4/(12)) ?

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

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

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

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= \frac{1}{12} \cdot 4 x^{4 - 1}

Simplify

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

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

f (x) = 4 x^{2} sin (x) + 2 x

cos (\frac{1 - e ^{6 x}}{1 + e ^{6 x}})

(- 9, 3), (7, - 7)

\frac{d}{d x} (cos (e^{c o t (x^{2})}))

\frac{\partial}{\partial x} (x^{2} + 1)

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