find the equation of the tangent line to y=ln(x), x=7
need some help...dont know how to do
thanks
mathaction
This is the most basic application of the derivative. You simply must get this or you REALLY must reconsider your career goals. If you've been skipping class, I recommend you change that behavior. If you're just not getting it, despite your best efforts, you may wish to have a very serious chat with your academic advisor.
Find the point: (7,ln(7))
Find the first derivative: y' = 1/x
Evaluate the derivative at the given point. m = 1/7
Use the Point-Slope form of a line to write the equation. I'll leave the exercise for you.
Hint: There is a reason why I called the specific value of the derivative "m".