I am having a problem with coming out with the right answer for the following problems, please help.

Using the Mean Value Theorem. If f(x)=sin(x) on the interval [1, 1.15] what is c.

okay the Mean Value Thoerem is f'(c) = f(b)-f(a)/b-a

so I have 1.15-1/.15, so tell me if I'm on the right track,if not please help.

Next problem

Sin(x)+ln y and 0<x<pi/2, using implicit differntiation, what is dy/dx.

Where do I start?

Thanks