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Popular >

derivative of f(x)=x^3-2x^2-2x+1

Solution

derivative of

f (x) = x^{3} - 2 x^{2} - 2 x + 1

Solution

3 x^{2} - 4 x - 2

Solution steps

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

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} (2 x) + \frac{d}{d x} (1)

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

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

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

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

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

Simplify

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

Popular Examples

integral of 1/((x^2+7)^{3/2)}

\int \frac{1}{( x ^{2} + 7 ) ^{\frac{3}{2}}} d x

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

limit as h approaches 0 of 7/(3h)

h \to 0 lim (\frac{7}{3 h})

integral of (x^3)/(1+9x^4)

\int \frac{x ^{3}}{1 + 9 x ^{4}} d x

limit as x approaches 4 of (2x-8)/(x-4)

x \to 4 lim (\frac{2 x - 8}{x - 4})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=x^3-2x^2-2x+1 ?
The derivative of f(x)=x^3-2x^2-2x+1 is 3x^2-4x-2
What is the first derivative of f(x)=x^3-2x^2-2x+1 ?
The first derivative of f(x)=x^3-2x^2-2x+1 is 3x^2-4x-2