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Popular >

derivative of-0.00000003x^3+9x-6000

Solution

\frac{d}{d x} (- 0.00000003 x^{3} + 9 x - 6000)

Solution

- 0.00000009 x^{2} + 9

Solution steps

\frac{d}{d x} (- 0.00000003 x^{3} + 9 x - 6000)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (0.00000003 x^{3}) + \frac{d}{d x} (9 x) - \frac{d}{d x} (6000)

\frac{d}{d x} (0.00000003 x^{3}) = 0.00000009 x^{2}

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

\frac{d}{d x} (6000) = 0

= - 0.00000009 x^{2} + 9 - 0

Simplify

= - 0.00000009 x^{2} + 9

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of-0.00000003x^3+9x-6000 ?
The derivative of-0.00000003x^3+9x-6000 is -0.00000009x^2+9
What is the first derivative of-0.00000003x^3+9x-6000 ?
The first derivative of-0.00000003x^3+9x-6000 is -0.00000009x^2+9