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Popular >

derivative of 1/(x^5)+2/(x^9)

Solution

derivative of

\frac{1}{x ^{5}} + \frac{2}{x ^{9}}

Solution

- \frac{5}{x ^{6}} - \frac{18}{x ^{10}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{5}} + \frac{2}{x ^{9}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{x ^{5}}) + \frac{d}{d x} (\frac{2}{x ^{9}})

\frac{d}{d x} (\frac{1}{x ^{5}}) = - \frac{5}{x ^{6}}

\frac{d}{d x} (\frac{2}{x ^{9}}) = - \frac{18}{x ^{10}}

= - \frac{5}{x ^{6}} - \frac{18}{x ^{10}}

Popular Examples

(\partial)/(\partial x)(2/(8x+3y))

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derivative of-12x-6

\frac{d}{d x} (- 12 x - 6)

integral of 1/(sqrt(x))-1/(e^{2x)}

\int \frac{1}{x} - \frac{1}{e ^{2 x}} d x

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limit as x approaches 0-of x^2csc(x)

x \to 0 - lim (x^{2} csc (x))

Frequently Asked Questions (FAQ)

What is the derivative of 1/(x^5)+2/(x^9) ?
The derivative of 1/(x^5)+2/(x^9) is -5/(x^6)-(18)/(x^{10)}
What is the first derivative of 1/(x^5)+2/(x^9) ?
The first derivative of 1/(x^5)+2/(x^9) is -5/(x^6)-(18)/(x^{10)}