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Popular >

derivative of 2x^3+3x^2-12x+2

Solution

derivative of

2 x^{3} + 3 x^{2} - 12 x + 2

Solution

6 x^{2} + 6 x - 12

Solution steps

\frac{d}{d x} (2 x^{3} + 3 x^{2} - 12 x + 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) + \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (12 x) + \frac{d}{d x} (2)

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

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

\frac{d}{d x} (12 x) = 12

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

= 6 x^{2} + 6 x - 12 + 0

Simplify

= 6 x^{2} + 6 x - 12

Popular Examples

integral of (x^2-5x)*e^x

\int (x^{2} - 5 x) \cdot e^{x} d x

tangent of y=10xsin(x),(pi/2 ,5pi)tangent of

y = 10 x sin (x), (\frac{π}{2}, 5 π)

integral of 3arctan(sqrt(x))

\int 3 arctan (x) d x

derivative of sin(sqrt(x^2+1))

\frac{d}{d x} (sin (x^{2} + 1))

tangent of f(x)= 2/x ,(4, 1/2)tangent of

f (x) = \frac{2}{x}, (4, \frac{1}{2})

Frequently Asked Questions (FAQ)

What is the derivative of 2x^3+3x^2-12x+2 ?
The derivative of 2x^3+3x^2-12x+2 is 6x^2+6x-12
What is the first derivative of 2x^3+3x^2-12x+2 ?
The first derivative of 2x^3+3x^2-12x+2 is 6x^2+6x-12