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Popular >

derivative of x^3-3x^2+3x-1

Solution

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

Solution

3 x^{2} - 6 x + 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

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

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

= 3 x^{2} - 6 x + 3 - 0

Simplify

= 3 x^{2} - 6 x + 3

Popular Examples

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\int 6 cos (x) d x

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\int_{0}^{1} \frac{5}{x ^{2} + x - 6} d x

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\frac{( x + 5 ) ( x ^{2} - 5 x + 25 )}{x ^{3}}

integral of (14x+5)sqrt(7x^2+5x)

\int (14 x + 5) 7 x^{2} + 5 x d x

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

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

Frequently Asked Questions (FAQ)

What is the derivative of x^3-3x^2+3x-1 ?
The derivative of x^3-3x^2+3x-1 is 3x^2-6x+3
What is the first derivative of x^3-3x^2+3x-1 ?
The first derivative of x^3-3x^2+3x-1 is 3x^2-6x+3