# Question regarding tangent lines and derivatives?

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• Mar 18th 2010, 09:45 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.

Thx in advance!
• Mar 18th 2010, 09:51 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.

Thx in advance!

find the equation of the tangent line at \$\displaystyle (x_0 , e^{x_0})\$ , then determine the line's x-intercept.
• Mar 20th 2010, 05:30 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, 07:47 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 \$\displaystyle y-y_0 = m(x-x_0)\$. You should have values for \$\displaystyle y_0\$ and \$\displaystyle m\$.

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