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

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

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

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

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derivative of

f (x) = (2 x)^{3}

24 x^{2}

Solution steps

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

Simplify

(2 x)^{3} : 8 x^{3}

= \frac{d}{d x} (8 x^{3})

Take the constant out:

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

= 8 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= 8 \cdot 3 x^{3 - 1}

Simplify

= 24 x^{2}

y = \frac{1}{( x - 1 )}

\frac{\partial}{\partial x} (\frac{1}{x ^{2}} + y)

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

y^{^{''}} + y^{^{'}} - 2 y = 2 t, y (0) = 0, y^{^{'}} (0) = 4

\frac{\partial}{\partial x} (sin (x) cosh (y))

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