Question

Find an equation of the tangent line to the curve at the point (0,2) y=2e^x(cos(x))

Answer 1

Do you know the technique of using the first derivative?

Answer 2

to find the y value, plug x into function. get some point (x,y). Then take the derivative, which will be the slope of the tangent line. is that the technique?

Answer 3

Yes almost, i was thinking of first taking dy/dx at some point which yields the slope of the tangent line at that point. Then use the point to find the final equation.

Answer 4

So just about the same thing you said, haha.

Answer 5

Anyway what did you get?

Answer 6

oh wow i just figured out my problem, thank you I got y-2=2(x-0)