Please can someone help. I need to use the composite rule to differentiate the function f(x)=(x^2-6x+23)^3/2. Any help would be greatly appreciated.

Answer 1

I don't know what name they give the rule these days, but the way I do it would get you ...

f'(x) = (3/2)(2x-6)(x^2 - 6x + 23)^(1/2) in one step.
and
= 3(x-3)√(x^2 - 6x + 23)