For each function below, decompose in the form y = f(u) and u = g(x). That is, identify f and g such that the function can be written as f(g(x)). Then, find a) y = (3x + 1)3 b) y csc(x+1) 3. (7 pts) Consider these two functions: f(x)=sin(x) a) One of them can be rewritten as (sin x)5. Which one? g(x) = sin(x5) b) One of them has derivative 5x4 cos(x5) and one has derivative 5 sin(x) cos(x). Which is which? Show the work to differentiate each function. 4. Consider this equation: xy + sin(y) - 2x = 10 a) (1 pt) How can you tell that you will need to use implicit differentiation to find dy/dx? b) (6 pts) Find dy/dx. You will use the product rule on the term xy2 and the chain rule on the term sin(y). I am providing the answer so you can check. Show work for credit. c) (2 pts) Find the slope of the line tangent to the curve at the point (2,-3).