Thread: Tangent Line

thanks

The line tangent to a function at (assuming the derivative exists at this point) is found by the point slope formula:



Writing this in slope-intercept form, we have:



Now, using and can you now compute the required -intercept?

To be honest, no, I don't know where those variables would go in the equation...

First, compute the derivative of . Next, let and evaluate the yintercept:

Isn't this the derivative -1/(x*[(ln(x))^(2)])?
So, in more simpler words, isn't it y-y1=m(x-x1)? y being the intercept y1 being the derivative after putting e/b in for x, m being the derivative, x being 0, and x1 being e/b?

Your derivative is correct, and next you correctly cite the point-slope formula for a line, but after that you contradict yourself/make wrong statements, and I am not sure what you really mean. I think what I stated is about as simple as it gets.