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Popular >

derivative of x^3-11x^2+31x-21

Solution

\frac{d}{d x} (x^{3} - 11 x^{2} + 31 x - 21)

Solution

3 x^{2} - 22 x + 31

Solution steps

\frac{d}{d x} (x^{3} - 11 x^{2} + 31 x - 21)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (11 x^{2}) + \frac{d}{d x} (31 x) - \frac{d}{d x} (21)

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

\frac{d}{d x} (11 x^{2}) = 22 x

\frac{d}{d x} (31 x) = 31

\frac{d}{d x} (21) = 0

= 3 x^{2} - 22 x + 31 - 0

Simplify

= 3 x^{2} - 22 x + 31

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Frequently Asked Questions (FAQ)

What is the derivative of x^3-11x^2+31x-21 ?
The derivative of x^3-11x^2+31x-21 is 3x^2-22x+31
What is the first derivative of x^3-11x^2+31x-21 ?
The first derivative of x^3-11x^2+31x-21 is 3x^2-22x+31