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Popular >

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

Solution

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

Solution

- 3 x^{2} + 4 x + 11

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 x^{2}) = 4 x

\frac{d}{d x} (11 x) = 11

\frac{d a}{d x} = 0

= - 3 x^{2} + 4 x + 11 + 0

Simplify

= - 3 x^{2} + 4 x + 11

Popular Examples

derivative of f(x)=tan(x)sin(6x^3)derivative of

f (x) = tan (x) sin (6 x^{3})

derivative of 10^x-10^{-x}

\frac{d}{d x} (1 0^{x} - 1 0^{- x})

derivative of f(x)=(x^2-2/x)^{-5}derivative of

f (x) = (x^{2} - \frac{2}{x})^{- 5}

limit as x approaches infinity of 13x(e^{1/x})-13x

x \to \infty lim (13 x (e^{\frac{1}{x}}) - 13 x)

y^'=8-y/(200)4,y(0)=50

y^{^{'}} = 8 - \frac{y}{200} 4, y (0) = 50

Frequently Asked Questions (FAQ)

What is the derivative of-x^3+2x^2+11x+a ?
The derivative of-x^3+2x^2+11x+a is -3x^2+4x+11
What is the first derivative of-x^3+2x^2+11x+a ?
The first derivative of-x^3+2x^2+11x+a is -3x^2+4x+11