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Popular >

derivative of y=2x^3+3x^2-12x+8

Solution

derivative of

y = 2 x^{3} + 3 x^{2} - 12 x + 8

Solution

6 x^{2} + 6 x - 12

Solution steps

\frac{d}{d x} (2 x^{3} + 3 x^{2} - 12 x + 8)

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} (8)

\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} (8) = 0

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

Simplify

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

Popular Examples

integral of 13x^3e^x

\int 13 x^{3} e^{x} d x

tangent of ((sqrt(x)+1))/(sqrt(x)+5)tangent of

\frac{( x + 1 )}{x + 5}

integral of (5x^2+3x+5)/((x^2+1)^2)

\int \frac{5 x ^{2} + 3 x + 5}{( x ^{2} + 1 ) ^{2}} d x

(\partial)/(\partial x)(12x+2y-3x^2-y^2)

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

area sqrt(x+7),0.5(x+7),-7,-3 area

x + 7, 0.5 (x + 7), - 7, - 3

Frequently Asked Questions (FAQ)

What is the derivative of y=2x^3+3x^2-12x+8 ?
The derivative of y=2x^3+3x^2-12x+8 is 6x^2+6x-12
What is the first derivative of y=2x^3+3x^2-12x+8 ?
The first derivative of y=2x^3+3x^2-12x+8 is 6x^2+6x-12