What is the derivative of (x^3)/3-x^2-15x ?

The derivative of (x^3)/3-x^2-15x is x^2-2x-15

What is the first derivative of (x^3)/3-x^2-15x ?

The first derivative of (x^3)/3-x^2-15x is x^2-2x-15

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derivative of

\frac{x ^{3}}{3} - x^{2} - 15 x

x^{2} - 2 x - 15

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{3} - x^{2} - 15 x)

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} (15 x)

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

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

\frac{d}{d x} (15 x) = 15

= x^{2} - 2 x - 15

x \to 0 lim (2 - 6 x)

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

\frac{1}{s} e^{- s}

\int 5 x (2 x + 5) (x - 3) d x

t^{2} y^{^{'}} + t y = 7, y (1) = 4

What is the derivative of (x^3)/3-x^2-15x ?
The derivative of (x^3)/3-x^2-15x is x^2-2x-15
What is the first derivative of (x^3)/3-x^2-15x ?
The first derivative of (x^3)/3-x^2-15x is x^2-2x-15