Question

Find the equation of the tangent line to the curve y = 3tan x at the point (pi/4 , 3).
The equation of this tangent line can be written in the form y = mx+b
where
m =
b =

Answer 1

First we want to find the derivative of y = 3tanx. You know how to do that?

Answer 2

dy/dx=2sec

Answer 3

No. If y = 3tanx
Then y' = 3 sec^2(x)

Answer 4

The first derivative gives us the slope. So use it to find the slope our tangent line will need to have at the point (pi/4, 3)

Answer 5

yes

Answer 6

I need m (the slope and b(yaxis)?

Answer 7

yes. first find m..the slope. then plug in m and (pi/4, 3) into y=mx + b and solve for b.

Answer 8

m=3

Answer 9

b=3

Answer 10

y=3(pi/4)+3

Answer 11

3=3(pi/4)+B

Answer 12

need more help please