What is the derivative of 1/(x^{19)} ?

The derivative of 1/(x^{19)} is -(19)/(x^{20)}

What is the first derivative of 1/(x^{19)} ?

The first derivative of 1/(x^{19)} is -(19)/(x^{20)}

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derivative of

\frac{1}{x ^{19}}

- \frac{19}{x ^{20}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{19}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} (x^{- 19})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 19 x^{- 19 - 1}

Simplify

- 19 x^{- 19 - 1} : - \frac{19}{x ^{20}}

= - \frac{19}{x ^{20}}

\frac{t + 2 t ^{2}}{1 + t ^{2}}

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

\int e^{x} cos (6 x) d x

\int_{- 1}^{4} 3 x^{2} + 8 x - 5 d x

\frac{d y}{d x} = \frac{x ^{2} + 2 y}{x}, y (1) = 2

What is the derivative of 1/(x^{19)} ?
The derivative of 1/(x^{19)} is -(19)/(x^{20)}
What is the first derivative of 1/(x^{19)} ?
The first derivative of 1/(x^{19)} is -(19)/(x^{20)}