Question

How do you use the chain rule to differentiate `y=4/(sqrt(x-5)`?

Answer 1

`y=4/(sqrt(x-5))`

We can rewrite this as:
`y=4(x-5)^(-1/2)`

Use the chain rule:
`y'=4(-1/2)(x-5)^(-3/2)(1)`

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

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