What is the derivative of 12x^3 ?

The derivative of 12x^3 is 36x^2

What is the first derivative of 12x^3 ?

The first derivative of 12x^3 is 36x^2

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\frac{d}{d x} (12 x^{3})

36 x^{2}

Solution steps

\frac{d}{d x} (12 x^{3})

Take the constant out:

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

= 12 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= 12 \cdot 3 x^{3 - 1}

Simplify

= 36 x^{2}

\frac{\partial}{\partial y} (ln (\frac{x ^{2}}{y}))

\frac{d}{d x} (\frac{4}{9} x^{3})

x sin (x^{2})

\int x - 2 x d x

4 x y