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Popular >

derivative of-9x^3+27x+7x-66

Solution

\frac{d}{d x} (- 9 x^{3} + 27 x + 7 x - 66)

Solution

- 27 x^{2} + 34

Solution steps

\frac{d}{d x} (- 9 x^{3} + 27 x + 7 x - 66)

Simplify

- 9 x^{3} + 27 x + 7 x - 66 : - 9 x^{3} + 34 x - 66

= \frac{d}{d x} (- 9 x^{3} + 34 x - 66)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (9 x^{3}) + \frac{d}{d x} (34 x) - \frac{d}{d x} (66)

\frac{d}{d x} (9 x^{3}) = 27 x^{2}

\frac{d}{d x} (34 x) = 34

\frac{d}{d x} (66) = 0

= - 27 x^{2} + 34 - 0

Simplify

= - 27 x^{2} + 34

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Frequently Asked Questions (FAQ)

What is the derivative of-9x^3+27x+7x-66 ?
The derivative of-9x^3+27x+7x-66 is -27x^2+34
What is the first derivative of-9x^3+27x+7x-66 ?
The first derivative of-9x^3+27x+7x-66 is -27x^2+34