Question

differentiate y=2V/r in terms of dy/dr

Answer 1

Differentiation of $y = \frac{2V}{r}$ with respect to r is $\frac{dy}{dr} =(\frac{-2V}{r^{2}} )$.

Step-by-step explanation:

We have the following equation:

y=2V/r or $y = \frac{2V}{r}$ , we need to differentiate y with respect r  , We know a formula of Differentiation that

$\frac {d} {dx} x^n = n x^n ^-^1$

$\frac{d(\frac{1}{r} )}{r} = \frac{d}{d(r)} (\frac{1}{r} ) = \frac{-1}{r^{2}}$  i.e. differentiation of  $\frac{1}{r}$ is $\frac{-1}{r^{2}}$ .

Now , let's solve this :

⇒ $y = \frac{2V}{r}$

⇒ $\frac{dy}{dr} = \frac{dy}{dr} (\frac{2V}{r})$

⇒ $\frac{dy}{dr} =2V \frac{dy}{dr} (\frac{1}{r})$

⇒ $\frac{dy}{dr} =2V (\frac{-1}{r^{2}} )$

⇒ $\frac{dy}{dr} =(\frac{-2V}{r^{2}} )$

∴ Differentiation of $y = \frac{2V}{r}$ with respect to r is $\frac{dy}{dr} =(\frac{-2V}{r^{2}} )$.