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Popular >

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

Solution

derivative of

P (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

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Frequently Asked Questions (FAQ)

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