Question

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

Answer 1

Differentiation of
`y = (2V)/(r)` with respect to r is
`(dy)/(dr) =((-2V)/(r^(2)) )`.

Explanation:

We have the following equation:

y=2V/r or
`y = (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`

`(d((1)/(r) ))/(r) = (d)/(d(r)) ((1)/(r) ) = (-1)/(r^(2))` i.e. differentiation of
`(1)/(r)` is
`(-1)/(r^(2))` .

Now , let's solve this :

⇒
`y = (2V)/(r)`

⇒
`(dy)/(dr) = (dy)/(dr) ((2V)/(r))`

⇒
`(dy)/(dr) =2V (dy)/(dr) ((1)/(r))`

⇒
`(dy)/(dr) =2V ((-1)/(r^(2)) )`

⇒
`(dy)/(dr) =((-2V)/(r^(2)) )`

∴ Differentiation of
`y = (2V)/(r)` with respect to r is
`(dy)/(dr) =((-2V)/(r^(2)) )`.