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Popular Calculus >

derivative of-x^3+9x^2-6x+9

Solution

\frac{d}{d x} (- x^{3} + 9 x^{2} - 6 x + 9)

Solution

- 3 x^{2} + 18 x - 6

Solution steps

\frac{d}{d x} (- x^{3} + 9 x^{2} - 6 x + 9)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (9 x^{2}) - \frac{d}{d x} (6 x) + \frac{d}{d x} (9)

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

\frac{d}{d x} (9 x^{2}) = 18 x

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (9) = 0

= - 3 x^{2} + 18 x - 6 + 0

Simplify

= - 3 x^{2} + 18 x - 6

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of-x^3+9x^2-6x+9 ?
The derivative of-x^3+9x^2-6x+9 is -3x^2+18x-6
What is the first derivative of-x^3+9x^2-6x+9 ?
The first derivative of-x^3+9x^2-6x+9 is -3x^2+18x-6