What is the derivative of 5/(x^{19}) ?

The derivative of 5/(x^{19}) is -(95)/(x^{20)}

What is the first derivative of 5/(x^{19}) ?

The first derivative of 5/(x^{19}) is -(95)/(x^{20)}

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\frac{d}{d x} (\frac{5}{x ^{19}})

- \frac{95}{x ^{20}}

Solution steps

\frac{d}{d x} (\frac{5}{x ^{19}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (\frac{1}{x ^{19}})

Apply exponent rule:

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

= 5 \frac{d}{d x} (x^{- 19})

Apply the Power Rule:

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

= 5 (- 19 x^{- 19 - 1})

Simplify

5 (- 19 x^{- 19 - 1}) : - \frac{95}{x ^{20}}

= - \frac{95}{x ^{20}}

\int x^{2} + x - 2 d x

y = e^{\frac{1}{x}}

n = 0 \sum \infty n! \cdot x^{n}

f (x) = tan (x) cot (x) sin (x)

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

What is the derivative of 5/(x^{19}) ?
The derivative of 5/(x^{19}) is -(95)/(x^{20)}
What is the first derivative of 5/(x^{19}) ?
The first derivative of 5/(x^{19}) is -(95)/(x^{20)}