How do I solve this problem?

Question

anonymous · Answer

attachment

tkhunny · Answer

What is the slope of the Tangent line and the Normal line at x = 3 for f(x)?

anonymous · Answer

Um, I'm not sure... Is the slope of the tangent line 30+6e^6?

tkhunny · Answer

Not bad.  Okay, now you must create the entire equation of the tangent line of f(x).  This doesn't solve the given problem, but it does demonstrate that you have the necessary skills.

Consider, if y = f(x), then $f^{-1}(y) = x$.  That's a good start toward your solution.

gtg

anonymous · Answer

Yeah, I still don't get it...

tkhunny · Answer

You MUST know how to write the equation of the tangent line at a give point.  It is a fundamental idea.

1) You must know that the value of the derivative at the point gives the slope of the line.
2) You must know the Point-Slope From of a line.

Show me that you can do that.  Without these skills, you cannot solve this problem.