What is the derivative of sqrt(1/(x^{17))} ?

The derivative of sqrt(1/(x^{17))} is -(17sqrt(x^{16)})/(2x^{35/2)}

What is the first derivative of sqrt(1/(x^{17))} ?

The first derivative of sqrt(1/(x^{17))} is -(17sqrt(x^{16)})/(2x^{35/2)}

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derivative of

\frac{1}{x ^{17}}

- \frac{17 x ^{16}}{2 x ^{\frac{35}{2}}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{17}})

Apply the chain rule:

\frac{1}{2 \frac{1}{x ^{17}}} \frac{d}{d x} (\frac{1}{x ^{17}})

= \frac{1}{2 \frac{1}{x ^{17}}} \frac{d}{d x} (\frac{1}{x ^{17}})

\frac{d}{d x} (\frac{1}{x ^{17}}) = - \frac{17}{x ^{18}}

= \frac{1}{2 \frac{1}{x ^{17}}} (- \frac{17}{x ^{18}})

Simplify

\frac{1}{2 \frac{1}{x ^{17}}} (- \frac{17}{x ^{18}}) : - \frac{17 x ^{16}}{2 x ^{\frac{35}{2}}}

= - \frac{17 x ^{16}}{2 x ^{\frac{35}{2}}}

\int_{- 2}^{0} \frac{x ^{2}}{\frac{16}{3}} d x

x \to 1 lim (\frac{x ^{2}}{1 - x ^{2}})

\frac{d}{d t} (6 t^{3})

D (X^{9})

7 y y^{^{'}} cos^{2} (x) = sin (x) (3 y^{2} - π)

What is the derivative of sqrt(1/(x^{17))} ?
The derivative of sqrt(1/(x^{17))} is -(17sqrt(x^{16)})/(2x^{35/2)}
What is the first derivative of sqrt(1/(x^{17))} ?
The first derivative of sqrt(1/(x^{17))} is -(17sqrt(x^{16)})/(2x^{35/2)}