- #1
ZdravkoBG
- 7
- 0
Homework Statement
f (x) = e^(3x) + sin(2x) + 3x +1
(a) Find a vector V that is tangent to the graph of y = f(x) at the point ( 0, 2).
(b) Find a vector N that is perpendicular to the graph of y = f(x) at the point ( 0, 2).
2. The attempt at a solution
The first step I took is to find the derivative of the function, since the problem is asking for a tangent at a point.
I got this: f'(x) = 3e^(3x) + 2cos(2x) + 3
However, I am unsure how to continue. The graph of "y = f(x)" is kind of confusing. I am thinking of maybe somehow getting parametric equations for the tangent line, which would allow me to build a vector. But I am unsure how to do this.