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Popular >

derivative of 2/3 x^3-8x-15

Solution

\frac{d}{d x} (\frac{2}{3} x^{3} - 8 x - 15)

Solution

2 x^{2} - 8

Solution steps

\frac{d}{d x} (\frac{2}{3} x^{3} - 8 x - 15)

Simplify

\frac{2}{3} x^{3} - 8 x - 15 : \frac{2 x ^{3}}{3} - 8 x - 15

= \frac{d}{d x} (\frac{2 x ^{3}}{3} - 8 x - 15)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{2 x ^{3}}{3}) - \frac{d}{d x} (8 x) - \frac{d}{d x} (15)

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

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

\frac{d}{d x} (15) = 0

= 2 x^{2} - 8 - 0

Simplify

= 2 x^{2} - 8

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Frequently Asked Questions (FAQ)

What is the derivative of 2/3 x^3-8x-15 ?
The derivative of 2/3 x^3-8x-15 is 2x^2-8
What is the first derivative of 2/3 x^3-8x-15 ?
The first derivative of 2/3 x^3-8x-15 is 2x^2-8