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

The derivative of (4x^3) is 192x^2

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

The first derivative of (4x^3) is 192x^2

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

192 x^{2}

Solution steps

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

Simplify

(4 x)^{3} : 64 x^{3}

= \frac{d}{d x} (64 x^{3})

Take the constant out:

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

= 64 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= 64 \cdot 3 x^{3 - 1}

Simplify

= 192 x^{2}

y = \frac{7}{x}, (1, 7)

h (t) = (t^{4} - 1)^{3} (t^{3} + 1)^{4}

\frac{d}{d x} ((6 x + 8) (4 x + 9)^{5})

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

\frac{\partial}{\partial x} (ln (x + 7 y + 6 z))

What is the derivative of (4x^3) ?
The derivative of (4x^3) is 192x^2
What is the first derivative of (4x^3) ?
The first derivative of (4x^3) is 192x^2