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Popular >

derivative of 2ax^3-(x^2/b+c)

Solution

\frac{d}{d x} (2 a x^{3} - \frac{x ^{2}}{b} + c)

Solution

6 a x^{2} - \frac{2 x}{b}

Solution steps

\frac{d}{d x} (2 a x^{3} - \frac{x ^{2}}{b} + c)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 a x^{3}) - \frac{d}{d x} (\frac{x ^{2}}{b}) + \frac{d c}{d x}

\frac{d}{d x} (2 a x^{3}) = 6 a x^{2}

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

\frac{d c}{d x} = 0

= 6 a x^{2} - \frac{2 x}{b} + 0

Simplify

= 6 a x^{2} - \frac{2 x}{b}

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\int_{0}^{2} \frac{x}{1 + 2 x ^{2}} d x

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Frequently Asked Questions (FAQ)

What is the derivative of 2ax^3-(x^2/b+c) ?
The derivative of 2ax^3-(x^2/b+c) is 6ax^2-(2x)/b
What is the first derivative of 2ax^3-(x^2/b+c) ?
The first derivative of 2ax^3-(x^2/b+c) is 6ax^2-(2x)/b