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Popular >

derivative of 0.006x^3+0.07x^2+18x+600

Solution

\frac{d}{d x} (0.006 x^{3} + 0.07 x^{2} + 18 x + 600)

Solution

0.018 x^{2} + 0.14 x + 18

Solution steps

\frac{d}{d x} (0.006 x^{3} + 0.07 x^{2} + 18 x + 600)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (0.006 x^{3}) + \frac{d}{d x} (0.07 x^{2}) + \frac{d}{d x} (18 x) + \frac{d}{d x} (600)

\frac{d}{d x} (0.006 x^{3}) = 0.018 x^{2}

\frac{d}{d x} (0.07 x^{2}) = 0.14 x

\frac{d}{d x} (18 x) = 18

\frac{d}{d x} (600) = 0

= 0.018 x^{2} + 0.14 x + 18 + 0

Simplify

= 0.018 x^{2} + 0.14 x + 18

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Frequently Asked Questions (FAQ)

What is the derivative of 0.006x^3+0.07x^2+18x+600 ?
The derivative of 0.006x^3+0.07x^2+18x+600 is 0.018x^2+0.14x+18
What is the first derivative of 0.006x^3+0.07x^2+18x+600 ?
The first derivative of 0.006x^3+0.07x^2+18x+600 is 0.018x^2+0.14x+18