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

The derivative of f(x)=3x^3 is 9x^2

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

The first derivative of f(x)=3x^3 is 9x^2

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derivative of

f (x) = 3 x^{3}

9 x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 9 x^{2}

f (x) = \frac{x - 1}{x + 1}

f (x) = x^{2} + 6 x + 1, at x = - 2

(- 4, 3)

y = e^{e^{x}}

x x + 1

What is the derivative of f(x)=3x^3 ?
The derivative of f(x)=3x^3 is 9x^2
What is the first derivative of f(x)=3x^3 ?
The first derivative of f(x)=3x^3 is 9x^2