Math Help - Derivative of trigonometric

1. Derivative of trigonometric

Find the points on the curve y= tan x, -pi/2< x < pi/2, where the tangent is parallel to the line y= 2x.
How do you do this? I'm really confused

2. Originally Posted by JimDavid
How do you do this? I'm really confused
you want all the points where the derivative has a value of 2. so find the derivative, set it equal to 2 and solve for x

3. Originally Posted by Jhevon
you want all the points where the derivative has a value of 2. so find the derivative, set it equal to 2 and solve for x
I turned tan x into sec^2 x, so it's 2=sec^2? How do you suppose to solve for it?

4. Originally Posted by JimDavid
I turned tan x into sec^2 x, so it's 2=sec^2? How do you suppose to solve for it?
yes, $\frac d{dx} \tan x = \sec^2 x$

now recall that $\sec x = \frac 1{\cos x}$