What is the derivative of f(x)=6x^3 ?

The derivative of f(x)=6x^3 is 18x^2

What is the first derivative of f(x)=6x^3 ?

The first derivative of f(x)=6x^3 is 18x^2

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derivative of

f (x) = 6 x^{3}

18 x^{2}

Solution steps

\frac{d}{d x} (6 x^{3})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= 6 \cdot 3 x^{3 - 1}

Simplify

= 18 x^{2}

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

x \to 5 lim (- 12 x + 7)

y = \frac{3}{x + 1}, (2, 1)

\frac{x y d y}{d x} = 2 x^{2} + 2 y^{2}

\int 5 e^{x + 5} d x

What is the derivative of f(x)=6x^3 ?
The derivative of f(x)=6x^3 is 18x^2
What is the first derivative of f(x)=6x^3 ?
The first derivative of f(x)=6x^3 is 18x^2