What is the derivative of x^3-8 ?

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

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

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

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

3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (8) = 0

= 3 x^{2} - 0

Simplify

= 3 x^{2}

x \to 0 lim (\frac{( x - 1 ) ^{3} + 1}{x})

\int_{0}^{8} e^{\frac{x}{2}} d x

f (x) = x + \frac{49}{x}

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

y^{^{'}} + 10 y = 20