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Popular >

derivative of y=3x^3-10x-4/(x^3)

Solution

derivative of

y = 3 x^{3} - 10 x - \frac{4}{x ^{3}}

Solution

9 x^{2} - 10 + \frac{12}{x ^{4}}

Solution steps

\frac{d}{d x} (3 x^{3} - 10 x - \frac{4}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{3}) - \frac{d}{d x} (10 x) - \frac{d}{d x} (\frac{4}{x ^{3}})

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (\frac{4}{x ^{3}}) = - \frac{12}{x ^{4}}

= 9 x^{2} - 10 - (- \frac{12}{x ^{4}})

Simplify

= 9 x^{2} - 10 + \frac{12}{x ^{4}}

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Frequently Asked Questions (FAQ)

What is the derivative of y=3x^3-10x-4/(x^3) ?
The derivative of y=3x^3-10x-4/(x^3) is 9x^2-10+(12)/(x^4)
What is the first derivative of y=3x^3-10x-4/(x^3) ?
The first derivative of y=3x^3-10x-4/(x^3) is 9x^2-10+(12)/(x^4)