The Product and Quotient Rules Section 3.2
Example 1, product rule (a) If f (x) = xex, find f (x). (b) Find the nth derivative, f (n)(x). Solution: (a) By the Product Rule
Example 1 – Solution f (x) = (x + 3)ex f (4)(x) = (x + 4)ex To generalize, f (n)(x) = (x + n)ex
Example 2, product rule
Example 3, quotient rule
Example 4, Tangent Line Find the tangent line to the curve at the point (1, ½ e) Horizontal at (1, ½ e)
3.2 The Product and Quotient Rules Summarize Notes Read section 3.2 Homework Pg.189 #3-34 (odd),41-43