Ineed with some calculus problems. i don't want the answer, i just want to know what steps i need to take to solve the problem. 1. if f(3)= and f'(3)=, find the equation of the line tangent to g(x)= cos(f(x)) at x=3. 2. if f(x)= }[/tex] (f(x)-f())/( x-) you.

1. we need to find g(3) and g'(3) to write point slope form of the tangent line

g(3)=cos(f(3))=

now to find g'(3)

use chain rule

so

the equation of a line that passes through (x1,y1) and having a slope of m is

we know it passes through (3,1/2) and has a slope of 3/2

so the equation of the tangent line at x=3 is

2.ah, difference quotient

I don't know how to simplify further

both equations and proportions are better.