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

The derivative of 1-|x^3| is -(3x^5)/(|x^3|)

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

The first derivative of 1-|x^3| is -(3x^5)/(|x^3|)

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

- \frac{3 x ^{5}}{∣ x ^{3} ∣}

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}) = \frac{3 x ^{5}}{∣ x ^{3} ∣}

= 0 - \frac{3 x ^{5}}{∣ x ^{3} ∣}

Simplify

= - \frac{3 x ^{5}}{∣ x ^{3} ∣}

\frac{d ^{4}}{d x ^{4}} (13 e^{x^{2}})

\frac{x ^{2} - 100}{x - 10}

f (x) = \frac{1}{2}

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

\int x^{2} x^{3} d x

What is the derivative of 1-|x^3| ?
The derivative of 1-|x^3| is -(3x^5)/(|x^3|)
What is the first derivative of 1-|x^3| ?
The first derivative of 1-|x^3| is -(3x^5)/(|x^3|)