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Popular >

derivative of 0.02x^3-0.07x^2+8x

Solution

\frac{d}{d x} (0.02 x^{3} - 0.07 x^{2} + 8 x)

Solution

0.06 x^{2} - 0.14 x + 8

Solution steps

\frac{d}{d x} (0.02 x^{3} - 0.07 x^{2} + 8 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (0.02 x^{3}) - \frac{d}{d x} (0.07 x^{2}) + \frac{d}{d x} (8 x)

\frac{d}{d x} (0.02 x^{3}) = 0.06 x^{2}

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

\frac{d}{d x} (8 x) = 8

= 0.06 x^{2} - 0.14 x + 8

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(dh)/(dt)=5sqrt(h)

\frac{d h}{d t} = 5 h

Frequently Asked Questions (FAQ)

What is the derivative of 0.02x^3-0.07x^2+8x ?
The derivative of 0.02x^3-0.07x^2+8x is 0.06x^2-0.14x+8
What is the first derivative of 0.02x^3-0.07x^2+8x ?
The first derivative of 0.02x^3-0.07x^2+8x is 0.06x^2-0.14x+8