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Popular >

derivative of-2x^3-3x^2+12x+11

Solution

\frac{d}{d x} (- 2 x^{3} - 3 x^{2} + 12 x + 11)

Solution

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

Solution steps

\frac{d}{d x} (- 2 x^{3} - 3 x^{2} + 12 x + 11)

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} (11)

\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} (11) = 0

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

Simplify

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

Popular Examples

tangent of f(x)=3x^2+5x,\at x=-3 tangent of

f (x) = 3 x^{2} + 5 x, at x = - 3

(\partial)/(\partial x)(e^{-5x})

\frac{\partial}{\partial x} (e^{- 5 x})

tangent of f(x)=((1))/(1+x^2),\at x=1 tangent of

f (x) = \frac{( 1 )}{1 + x ^{2}}, at x = 1

(\partial)/(\partial x)(1/(1+0^2))

\frac{\partial}{\partial x} (\frac{1}{1 + 0 ^{2}})

derivative of 2ln(cos(x))derivative of

2 ln (cos (x))

Frequently Asked Questions (FAQ)

What is the derivative of-2x^3-3x^2+12x+11 ?
The derivative of-2x^3-3x^2+12x+11 is -6x^2-6x+12
What is the first derivative of-2x^3-3x^2+12x+11 ?
The first derivative of-2x^3-3x^2+12x+11 is -6x^2-6x+12