Published on: Tue Mar 16 2010

Find the tangent line at point (3,2) Now that we know dy/dx, solve for the slope using the given values for (x and y) Now use the Tangent Line formula- The Problem
- Write in full form, including y
- Use log properties to arrange into
*x =*form - Take the derivative with respect to the change in x from both sides
- The derivative of
*“e to the y”*remains*“e to the y”,*the derivative of x is one. - Rearrange to solve for the derivative
*dy/dx*. - Substitute for
*y.* *“e to the ln of anything” is equal to the anything, in this case anything is x.*

- The Problem
- Rearrange the problem using Trig
- Take the derivative from both sides
- x is equal to 1
- Solve for dy/dx
- Substitute for y in the solution.
- The professor kept going and somehow (using Trig?) managed to bring the answer to this.