What is the derivative of (2x(3x^3)) ?

The derivative of (2x(3x^3)) is 24x^3

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

The first derivative of (2x(3x^3)) is 24x^3

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

24 x^{3}

Solution steps

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

Simplify

(2 x) (3 x^{3}) : 6 x^{4}

= \frac{d}{d x} (6 x^{4})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 6 \cdot 4 x^{4 - 1}

Simplify

= 24 x^{3}

\int x (x^{2} - 8)^{3} d x

\int sin^{5} (x) cot (x) d x

\frac{ln ( t )}{t}

\int \frac{x ^{2} - 256}{x} d x

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

What is the derivative of (2x(3x^3)) ?
The derivative of (2x(3x^3)) is 24x^3
What is the first derivative of (2x(3x^3)) ?
The first derivative of (2x(3x^3)) is 24x^3