What is (\partial)/(\partial s)(r/s) ?

The answer to (\partial)/(\partial s)(r/s) is -r/(s^2)

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(\partial)/(\partial s)(r/s)

\frac{\partial}{\partial s} (\frac{r}{s})

- \frac{r}{s ^{2}}

Solution steps

\frac{\partial}{\partial s} (\frac{r}{s})

Treat

r

as a constant

Take the constant out:

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

= r \frac{\partial}{\partial s} (\frac{1}{s})

Apply exponent rule:

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

= r \frac{\partial}{\partial s} (s^{- 1})

Apply the Power Rule:

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

= r (- 1 \cdot s^{- 1 - 1})

Simplify

r (- 1 \cdot s^{- 1 - 1}) : - \frac{r}{s ^{2}}

= - \frac{r}{s ^{2}}

\int_{\frac{7}{2}}^{7} 49 - x^{2} d x

n = 1 \sum \infty arctan (n)

e^{- y} sin (x) + \frac{d y}{d x} = 0

\frac{d}{d x} (sin (x) - tan (x))

x \to 4 lim (∣ x - 4 ∣)

What is (\partial)/(\partial s)(r/s) ?
The answer to (\partial)/(\partial s)(r/s) is -r/(s^2)