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Popular >

derivative of ((x^3)/3-((x^2))/2-2x-1)

Solution

\frac{d}{d x} (\frac{( x ^{3} )}{3} - \frac{( x ^{2} )}{2} - 2 x - 1)

Solution

x^{2} - x - 2

Solution steps

\frac{d}{d x} (\frac{( x ^{3} )}{3} - \frac{( x ^{2} )}{2} - 2 x - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{3}}{3}) - \frac{d}{d x} (\frac{x ^{2}}{2}) - \frac{d}{d x} (2 x) - \frac{d}{d x} (1)

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

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

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

\frac{d}{d x} (1) = 0

= x^{2} - x - 2 - 0

Simplify

= x^{2} - x - 2

Popular Examples

integral of 100sin(500x)

\int 100 sin (500 x) d x

1/(8x)(dy)/(dx)=ysqrt(4x^2-1)

\frac{1}{8 x} \frac{d y}{d x} = y 4 x^{2} - 1

integral of 5-0.04x+3x^2

\int 5 - 0.04 x + 3 x^{2} d x

derivative of (2x/(x^2-36))

\frac{d}{d x} (\frac{2 x}{x ^{2} - 36})

4y^{''}-4y^'-3y=0,y(0)=1,y^'(0)=9

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 9

Frequently Asked Questions (FAQ)

What is the derivative of ((x^3)/3-((x^2))/2-2x-1) ?
The derivative of ((x^3)/3-((x^2))/2-2x-1) is x^2-x-2
What is the first derivative of ((x^3)/3-((x^2))/2-2x-1) ?
The first derivative of ((x^3)/3-((x^2))/2-2x-1) is x^2-x-2