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Popular Calculus >

derivative of y=8x^3-5x^2-x/(12)

Solution

derivative of

y = 8 x^{3} - 5 x^{2} - \frac{x}{12}

Solution

24 x^{2} - 10 x - \frac{1}{12}

Solution steps

\frac{d}{d x} (8 x^{3} - 5 x^{2} - \frac{x}{12})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x^{3}) - \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (\frac{x}{12})

\frac{d}{d x} (8 x^{3}) = 24 x^{2}

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (\frac{x}{12}) = \frac{1}{12}

= 24 x^{2} - 10 x - \frac{1}{12}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of y=8x^3-5x^2-x/(12) ?
The derivative of y=8x^3-5x^2-x/(12) is 24x^2-10x-1/12
What is the first derivative of y=8x^3-5x^2-x/(12) ?
The first derivative of y=8x^3-5x^2-x/(12) is 24x^2-10x-1/12