Question

Differentiate the following using the first principle :

(i) y = x — (1/x)
(ii) y= x¹/³
Pls help, needed urgently.

Answer 1

Derivative of i is y' =1 -
`(1)/(x^(2) )`

As for the second function, I'm confused by what you typed please retype it correctly so I can solve

Explanation:

Work for the first derivative:

i. y = x - (1/x) = x -
`x^(-1)`

y' =
`x^(1-1) = x^(0) = 1\\\\\\x^(-1-1) =x^(-2) = (1)/(x^(2) )`

y' =
`1 -(1)/(x^(2) )`