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

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

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

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

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derivative of

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

\frac{3 x ^{2}}{4}

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{4})

Take the constant out:

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

= \frac{1}{4} \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

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

Simplify

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

= \frac{3 x ^{2}}{4}

y^{3} - x y^{2} = 4

y = \frac{3}{x + 7}

\int \frac{1}{16 - 49 x ^{2}} d x

\frac{d}{d x} (\frac{x ^{2} + 2 x + 3}{x ^{2}})

\int \frac{1}{( y + 2 ) ^{2}} d y

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