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Popular >

derivative of 2x^3+3x^2-12x+4

Solution

derivative of

2 x^{3} + 3 x^{2} - 12 x + 4

Solution

6 x^{2} + 6 x - 12

Solution steps

\frac{d}{d x} (2 x^{3} + 3 x^{2} - 12 x + 4)

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} (4)

\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} (4) = 0

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

Simplify

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

Popular Examples

derivative of cos(6x)derivative of

cos (6 x)

(\partial)/(\partial z)(zsqrt(x^2+y^2))

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

(\partial)/(\partial y)(x^2+2xy)

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

limit as x approaches 0 of (4/(x+1)-4)/x

x \to 0 lim (\frac{\frac{4}{x + 1} - 4}{x})

y^'= x/y ,y(1)=2

y^{^{'}} = \frac{x}{y}, y (1) = 2

Frequently Asked Questions (FAQ)

What is the derivative of 2x^3+3x^2-12x+4 ?
The derivative of 2x^3+3x^2-12x+4 is 6x^2+6x-12
What is the first derivative of 2x^3+3x^2-12x+4 ?
The first derivative of 2x^3+3x^2-12x+4 is 6x^2+6x-12