Friday

May 27, 2016
Posted by **Amy** on Friday, February 22, 2013 at 11:22am.

F'(x)

y= tan x/x^2

y'=

- Calculus -
**Steve**, Friday, February 22, 2013 at 11:50amF = 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)