Saturday

January 31, 2015

January 31, 2015

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)

**Answer this Question**

**Related Questions**

Maths Calculus Derivatives - Find the first derivative for the following ...

Trig - Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < ...

precalculus - For each of the following determine whether or not it is an ...

calculus - what is the integral of {sin(x)tan(x)} i tried turning tan(x) into ...

Trig Identities - Proving identities: 1) 1+ 1/tan^2x = 1/sin^2x 2) 2sin^2 x-1 = ...

Trigonometry - Please review and tell me if i did something wrong. Find the ...

Trigonometry - 1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two ...

Mathematics - Trigonometric Identities - Let y represent theta Prove: 1 + 1/tan^...

Trigonometry desperate help, clueless girl here - 2. solve cos 2x-3sin x cos 2x...

pre-calculus - Verify the following: tan^2 - sin^2 = tan^2 x sin^2 Thanks.