Confirm the chain rule for F(x) = (x+a) by computing F(x) in two ways (a and b) and showing they are equal a) Foil F (x) to F (x) = x+ 2ax + a and take the derivative using only the power rule b) Write F (x) = f (g(x)) with f (u) =u2 and g(x) = x+a, and take the derivative using the chain rule #2 Determine f(u) and g(x) in order to write F(x) as a composition: F(x) = f(g(x)) Do not calculate F'(x) a) F(x)=sin(2x+x) b)F(x)=1/vx+1 c) F(x)=(x+60)20 d) F (x) = esinx #3 Let F(x) = sin[(x+1)2] a) Find f(a), g(b), and h(x) needed to write F(x) = f(g(h(x))) b) Find f(a), g(b), h(x) c) Use parts (a) and (b) to write F(x) = f(a) g(b) h(x) = f(g(h(x)) g (h(x)) h(x) #4: find the derivatives F(x) for parts a, b, c, d of problem 2.