1 = Derivative of a Constant; 2 = Power Rule; 3 = Product Rule;4 = Quotient Rule; 5 = Derivative of Exponential Function; 6 =Derivative of Logarithmic Function; 7 = Chain Rule
1. Circle the number(s) indicating the rule(s) used to ?nd thederivative of each function. Then di?erentiate the function.
(a.) f(x) = ln7 1 2 3 4 5 6 7
(b.) p(y) = y3.7 1 2 3 4 5 6 7
(c.) g(x) = ?x2ex 1 2 3 4 5 6 7
(d.) j(z) = 1 z2+1 1 2 3 4 5 6 7
(e.) h(x) = x lnx 1 2 3 4 5 6 7
2. Simplify each function, if possible. All exponents should bepositive and factor out common factors. Do not ?nd thederivative
. (a.) f(x) = x?4(x + 6)5
(b.) g(x) = e9x(x?2)2 + 9e9x(x?2)
(c.) h(x) = x x+2