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}

x \to 1 lim (\frac{6 x ^{2} + 12 x - 18}{2 x - 2})

\int_{- 1}^{2} \frac{2}{( 2 x + 4 ) ^{3}} d x

\frac{\partial}{\partial y} (- sin (x^{2} y) \cdot 2 y x)

y^{^{''}} + 8 y^{^{'}} + \frac{73}{4} y = 0

\int 2 \cdot e^{- 2 x} 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