What is the derivative of 1/2 x^3 ?

The derivative of 1/2 x^3 is (3x^2)/2

What is the first derivative of 1/2 x^3 ?

The first derivative of 1/2 x^3 is (3x^2)/2

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= \frac{1}{2} \cdot 3 x^{3 - 1}

Simplify

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

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

\frac{d}{d x} ((x + 1) (x - 1))

77 p + 20 - 360, at 75

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

\frac{1}{5 + 2 x}

f (t) = \frac{5 t + 300}{t ^{2} + 25}

What is the derivative of 1/2 x^3 ?
The derivative of 1/2 x^3 is (3x^2)/2
What is the first derivative of 1/2 x^3 ?
The first derivative of 1/2 x^3 is (3x^2)/2