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

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

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

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

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

x^{2} - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (2) = 0

= x^{2} - 2 x + 0

Simplify

= x^{2} - 2 x

x \to \infty lim (x + 1)

\frac{\partial}{\partial x} (- k p (x) gx)

y = arcsin (x) - 1 - x^{2}

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x + 7})

f (x) = x + \frac{3}{x}, at x = 4

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