Calculus
posted by Amy on .
F(x) = x^2 sin x
F'(x)
y= tan x/x^2
y'=

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)