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Popular Calculus >

derivative of 1300+14x-0.1x^2+0.0005x^3

Solution

derivative of

1300 + 14 x - 0.1 x^{2} + 0.0005 x^{3}

Solution

0.0015 x^{2} - 0.2 x + 14

Solution steps

\frac{d}{d x} (1300 + 14 x - 0.1 x^{2} + 0.0005 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1300) + \frac{d}{d x} (14 x) - \frac{d}{d x} (0.1 x^{2}) + \frac{d}{d x} (0.0005 x^{3})

\frac{d}{d x} (1300) = 0

\frac{d}{d x} (14 x) = 14

\frac{d}{d x} (0.1 x^{2}) = 0.2 x

\frac{d}{d x} (0.0005 x^{3}) = 0.0015 x^{2}

= 0 + 14 - 0.2 x + 0.0015 x^{2}

Simplify

= 0.0015 x^{2} - 0.2 x + 14

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 1300+14x-0.1x^2+0.0005x^3 ?
The derivative of 1300+14x-0.1x^2+0.0005x^3 is 0.0015x^2-0.2x+14
What is the first derivative of 1300+14x-0.1x^2+0.0005x^3 ?
The first derivative of 1300+14x-0.1x^2+0.0005x^3 is 0.0015x^2-0.2x+14