What is the derivative of 1/16 x^4 ?

The derivative of 1/16 x^4 is (x^3)/4

What is the first derivative of 1/16 x^4 ?

The first derivative of 1/16 x^4 is (x^3)/4

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\frac{d}{d x} (\frac{1}{16} x^{4})

\frac{x ^{3}}{4}

Solution steps

\frac{d}{d x} (\frac{1}{16} x^{4})

Take the constant out:

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

= \frac{1}{16} \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= \frac{1}{16} \cdot 4 x^{4 - 1}

Simplify

\frac{1}{16} \cdot 4 x^{4 - 1} : \frac{x ^{3}}{4}

= \frac{x ^{3}}{4}

\int 6 sec^{4} (x) d x

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

f (x) = \frac{3}{1 + x ^{2}}

(7^{x})^{^{'}}

\frac{d y}{d x} = \frac{sin ( x )}{e ^{y}}

What is the derivative of 1/16 x^4 ?
The derivative of 1/16 x^4 is (x^3)/4
What is the first derivative of 1/16 x^4 ?
The first derivative of 1/16 x^4 is (x^3)/4