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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derivative of

\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}

y^{^{'}} = \frac{( y ^{2} + x y - x ^{2} )}{x ^{2}}

\frac{1}{3 x + 2}

tan (x)

\frac{d}{d x} (10 x e^{- x})

\frac{d y}{d x} = \frac{2 x ^{3}}{y ^{2}}

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