Since the CTE tells us that we have a quantity raised to the 5, we should use the chain rule in the following form:

d dx

u5

=

5u4

du dx

d dx		3x - 1 x2 - x-1		5	=	5   3x - 1 x2 - x-1   4 d dx   3x - 1 x2 - x-1
					=	5   3x - 1 x2 - x-1   4   3(x2-x-1)-(3x-1)(2x+x-2) (x2-x-1)2     By the quotient rule

Close this window to return to the tutorial