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Popular >

derivative of y=-4/(5x^5)+(15)/(4x^4)

Solution

derivative of

y = - \frac{4}{5 x ^{5}} + \frac{15}{4 x ^{4}}

Solution

\frac{4}{x ^{6}} - \frac{15}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{4}{5 x ^{5}} + \frac{15}{4 x ^{4}})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{4}{5 x ^{5}}) + \frac{d}{d x} (\frac{15}{4 x ^{4}})

\frac{d}{d x} (\frac{4}{5 x ^{5}}) = - \frac{4}{x ^{6}}

\frac{d}{d x} (\frac{15}{4 x ^{4}}) = - \frac{15}{x ^{5}}

= - (- \frac{4}{x ^{6}}) - \frac{15}{x ^{5}}

Simplify

= \frac{4}{x ^{6}} - \frac{15}{x ^{5}}

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Frequently Asked Questions (FAQ)

What is the derivative of y=-4/(5x^5)+(15)/(4x^4) ?
The derivative of y=-4/(5x^5)+(15)/(4x^4) is 4/(x^6)-(15)/(x^5)
What is the first derivative of y=-4/(5x^5)+(15)/(4x^4) ?
The first derivative of y=-4/(5x^5)+(15)/(4x^4) is 4/(x^6)-(15)/(x^5)