What is the derivative of-e/x ?

The derivative of-e/x is e/(x^2)

What is the first derivative of-e/x ?

The first derivative of-e/x is e/(x^2)

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derivative of

- \frac{e}{x}

\frac{e}{x ^{2}}

Solution steps

\frac{d}{d x} (- \frac{e}{x})

Take the constant out:

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

= - e \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - e (- 1 \cdot x^{- 1 - 1})

Simplify

- e (- 1 \cdot x^{- 1 - 1}) : \frac{e}{x ^{2}}

= \frac{e}{x ^{2}}

\frac{d}{d h} (π r^{2} h)

\int_{1}^{4} \frac{1}{x ( x - 5 )} d x

y^{^{'}} (x^{2} + 1) + 3 x (y - 1) = 0

\int 7 x sin (2 x) d x

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