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

The derivative of 1/4 x^4 is x^3

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

The first derivative of 1/4 x^4 is x^3

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

x^{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= x^{3}

\int 3 x cos (4 x) d x

\int \frac{3 x ^{2} - 1}{( x - 1 ) x ^{2}} d x

\frac{d}{d x} (e^{c o s (x)})

\int x e^{b x} d x

\int sec^{5} (3 x) d x

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