What is the derivative of (2-x^3) ?

The derivative of (2-x^3) is -3(2-x)^2

What is the first derivative of (2-x^3) ?

The first derivative of (2-x^3) is -3(2-x)^2

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

- 3 (2 - x)^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 - x) = - 1

= 3 (2 - x)^{2} (- 1)

Simplify

= - 3 (2 - x)^{2}

\frac{1}{8} x, \frac{1}{x ^{2}}, x

x \to \infty lim (ln (5 x^{2} + 12 x - 6))

\int e^{9 x} sin (x) d x

\int_{2}^{\infty} - 3 x^{- 2} d x

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

What is the derivative of (2-x^3) ?
The derivative of (2-x^3) is -3(2-x)^2
What is the first derivative of (2-x^3) ?
The first derivative of (2-x^3) is -3(2-x)^2