What is the derivative of 1/3 x^3-1/2 x^2-30x+2 ?

The derivative of 1/3 x^3-1/2 x^2-30x+2 is x^2-x-30

What is the first derivative of 1/3 x^3-1/2 x^2-30x+2 ?

The first derivative of 1/3 x^3-1/2 x^2-30x+2 is x^2-x-30

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derivative of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 30 x + 2

x^{2} - x - 30

Solution steps

\frac{d}{d x} (\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 30 x + 2)

Simplify

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 30 x + 2 : \frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 30 x + 2

= \frac{d}{d x} (\frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 30 x + 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{3}}{3}) - \frac{d}{d x} (\frac{x ^{2}}{2}) - \frac{d}{d x} (30 x) + \frac{d}{d x} (2)

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

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

\frac{d}{d x} (30 x) = 30

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

= x^{2} - x - 30 + 0

Simplify

= x^{2} - x - 30

y = \frac{2 x + 3}{3 x - 2}

\int 9 cos (x) + 5 d x

\frac{\partial}{\partial x} (x^{0.1} y^{0.9})

x \to 0 lim (\frac{sin ( 4 x ^{2} )}{x})

\frac{\partial}{\partial x} (x \cdot y^{2} \cdot z^{3})

What is the derivative of 1/3 x^3-1/2 x^2-30x+2 ?
The derivative of 1/3 x^3-1/2 x^2-30x+2 is x^2-x-30
What is the first derivative of 1/3 x^3-1/2 x^2-30x+2 ?
The first derivative of 1/3 x^3-1/2 x^2-30x+2 is x^2-x-30