# Question regarding tangent lines and derivatives?

• Mar 18th 2010, 10:45 AM
Solid8Snake
Question regarding tangent lines and derivatives?
Hello! I am having some difficulty going about to solve this problem, if anyone can help that would be greatly appreaciated. The question i need help with is number 6.

• Mar 18th 2010, 10:51 AM
skeeter
Quote:

Originally Posted by Solid8Snake
Hello! I am having some difficulty going about to solve this problem, if anyone can help that would be greatly appreaciated. The question i need help with is number 6.

find the equation of the tangent line at $(x_0 , e^{x_0})$ , then determine the line's x-intercept.
• Mar 20th 2010, 06:30 PM
Solid8Snake
well I still dont really know how to do this problem. The first thing i did was I found the derivative of the function which I believe is (e)^x, but what I'm I suppose to do after that.

thanks again
• Mar 20th 2010, 08:47 PM
drumist
1. Determine the slope of the tangent line by using the derivative.

2. Use the point-slope form of a line to determine an equation for the tangent line. The form I am talking about is $y-y_0 = m(x-x_0)$. You should have values for $y_0$ and $m$.

3. Find the x-intercept of the line. In other words, set $y=0$ and solve for $x$.