What is the derivative of 1-x^3 ?

The derivative of 1-x^3 is -3x^2

What is the first derivative of 1-x^3 ?

The first derivative of 1-x^3 is -3x^2

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\frac{d}{d x} (1 - x^{3})

- 3 x^{2}

Solution steps

\frac{d}{d x} (1 - x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (1) = 0

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

= 0 - 3 x^{2}

Simplify

= - 3 x^{2}

x \to 0 lim (\frac{sec ( x ) tan ( x )}{x})

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\int (e^{2 x} + sin (2 x)) d x

\frac{d}{d x} (sin (x) + \frac{8}{3} cot (x))

\frac{d}{d x} (\frac{1}{2} x + 1)