In Calculus :

Use the product Rule or the Quotient Rule to fine the derivative with respect to x of the given functions. Show all your work and simplify each answer. a. h(x)=x3cosx b. g(x)=x34+x43sinx2x c. q(x)=(x2)(3x4+5x) Consider the function y=f(x), whose graph is shown below. By observing the behavior of the graph: a. Find all discontinuities of f(x) and identify their types. b. State the redefinition that removes the removable discontinuity. c. Find the values a such that limxaf(x) does not exist