8. Find the point(s) of inflection for y = (x) = sin x + cosx . 9. Find the global extrema for f (x) =e* sin x over [-x,x]. 2 10. Show that the function y = sin x satisfies the equation (y') =1. 21. Differentiate. Simplify the answer (if possible). a) f(x) = x sin x b) f ( x ) = - x2 COS X 2. Differentiate. Simplify the answer (if possible). a) f(x) = sin(cos x) b) f (x) = tan(x2) 3. Differentiate. Simplify the answer (if possible). a) f (x) = COS X tan x tan x b) f (x) = - 1 + sin x 4. Differentiate. Simplify the answer (if possible). a) f(x) = sin- xcos* x b) f(x) = Insin(xe*)5. Differentiate. Simplify the answer (if possible). f (x) =, col x - 1 cot x +1 5.4 5.5 Derivative of Trigonometric Functions 6. Find the equation of the tangent line to the graph of y = f (x) = secx at x = x/6. 7. Find the local extrema for y = f(x) =sin x