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Popular >

derivative of 3x^3-3x^2-3x+2

Solution

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

Solution

9 x^{2} - 6 x - 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

\frac{d}{d x} (3 x^{2}) = 6 x

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

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

= 9 x^{2} - 6 x - 3 + 0

Simplify

= 9 x^{2} - 6 x - 3

Popular Examples

normal of y=x^2,(3,9)normal of

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limit as x approaches-2 of 2x^2-x+3

x \to - 2 lim (2 x^{2} - x + 3)

derivative of (8x/(1-tan(x)))

\frac{d}{d x} (\frac{8 x}{1 - tan ( x )})

(dy)/(dx)=((-3x^2+2y^2))/(4xy)

\frac{d y}{d x} = \frac{( - 3 x ^{2} + 2 y ^{2} )}{4 x y}

integral from 0 to 4 of 0.5e^{-0.5t}

\int_{0}^{4} 0.5 e^{- 0.5 t} d t

Frequently Asked Questions (FAQ)

What is the derivative of 3x^3-3x^2-3x+2 ?
The derivative of 3x^3-3x^2-3x+2 is 9x^2-6x-3
What is the first derivative of 3x^3-3x^2-3x+2 ?
The first derivative of 3x^3-3x^2-3x+2 is 9x^2-6x-3