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Popular Calculus >

derivative of 2x^3-7x^2+3x-2

Solution

\frac{d}{d x} (2 x^{3} - 7 x^{2} + 3 x - 2)

Solution

6 x^{2} - 14 x + 3

Solution steps

\frac{d}{d x} (2 x^{3} - 7 x^{2} + 3 x - 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (7 x^{2}) + \frac{d}{d x} (3 x) - \frac{d}{d x} (2)

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

\frac{d}{d x} (7 x^{2}) = 14 x

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

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

= 6 x^{2} - 14 x + 3 - 0

Simplify

= 6 x^{2} - 14 x + 3

Graph

Popular Examples

derivative of (7+2xe^{-3x})

\frac{d}{d x} ((7 + 2 x) e^{- 3 x})

t^2y^{''}+2ty^'-1=0

t^{2} y^{^{''}} + 2 t y^{^{'}} - 1 = 0

integral from 2 to 5 of (sqrt(x)-2)^2

\int_{2}^{5} (x - 2)^{2} d x

limit as x approaches infinity of 2/x-3

x \to \infty lim (\frac{2}{x} - 3)

limit as x approaches 2 of 4x^2

x \to 2 lim (4 x^{2})

Frequently Asked Questions (FAQ)

What is the derivative of 2x^3-7x^2+3x-2 ?
The derivative of 2x^3-7x^2+3x-2 is 6x^2-14x+3
What is the first derivative of 2x^3-7x^2+3x-2 ?
The first derivative of 2x^3-7x^2+3x-2 is 6x^2-14x+3