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Popular >

derivative of 11000-x^3+36x^2+700x

Solution

\frac{d}{d x} (11000 - x^{3} + 36 x^{2} + 700 x)

Solution

- 3 x^{2} + 72 x + 700

Solution steps

\frac{d}{d x} (11000 - x^{3} + 36 x^{2} + 700 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (11000) - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (36 x^{2}) + \frac{d}{d x} (700 x)

\frac{d}{d x} (11000) = 0

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

\frac{d}{d x} (36 x^{2}) = 72 x

\frac{d}{d x} (700 x) = 700

= 0 - 3 x^{2} + 72 x + 700

Simplify

= - 3 x^{2} + 72 x + 700

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 11000-x^3+36x^2+700x ?
The derivative of 11000-x^3+36x^2+700x is -3x^2+72x+700
What is the first derivative of 11000-x^3+36x^2+700x ?
The first derivative of 11000-x^3+36x^2+700x is -3x^2+72x+700