Posted by Amy on Friday, February 22, 2013 at 11:22am.
F = x^2 sinx
use the product rule to get
F' = 2x sinx + x^2 cosx
F = tanx/x^2
use quotient rule to get
F' = (x^2 sec^2 x - 2x tanx)/x^4
= (x sec^2 x - 2tanx)/x^3
or, writing F as
F = x^-2 tanx
use the product rule to get
F' = -2x^-3 tanx + x^-2 sec^2 x
= x^-3 (-2tanx + x sec^2 x)