Quiz 5 use the quotient rule to differentiate the function

Question

Quiz 5 - Math 1A, section 103

1. (a) Use the Quotient Rule to differentiate the function

f(x) = (tan(x) - 1/sec x)

(b) Simplify the expression for f(x) by writing it in terms of sin(x) and cos(x), and then find f'(x).

(c) Show that your answers to parts (a) and (b) are equivalent.