What is the derivative of-8x^3 ?

The derivative of-8x^3 is -24x^2

What is the first derivative of-8x^3 ?

The first derivative of-8x^3 is -24x^2

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

- 24 x^{2}

Solution steps

\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}

\int_{\frac{1}{7}}^{5} 6 x ln (7 x) d x

\frac{d}{d x} (\frac{8}{x - 3})

x \to \frac{π}{2} lim (x \cdot sec (x))

x y^{^{'}} + 2 y = 0

\int_{0}^{a} r^{2} e^{- \frac{2 r}{a}} d r