Question

Question #72122

Answer 1

`y'=5((x^(-1/2)-x^(-3/2))/2)^4`

Explanation:

By the Chain Rule:
`y=(x^(1/2)+x^(-1/2))^5`
`y'=5(d/(dx)[x^(1/2)+x^(-1/2)])^(5-1)`
`y'=5((x^(-1/2))/2+(-x^(-3/2))/2)^4`
`y'=5((x^(-1/2)-x^(-3/2))/2)^4`