Differentiation
- 2. QUOTIENT RULE DEFINITION: The quotient rule is defined as the quantity of the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator all over the denominator squared. ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? .2 xg xfxgxgxf xg xf dx d ??? ?? ? ? ? ? ?
- 3. EXAMPLE SOLUTION Differentiate. Let and . Then, using the quotient rule x xx 34 24 ?? ? ? 34 24 ??? xxxf ? ? xxg ? ? ? ? ? ? ? 2 2424 24 3434 34 x x dx d xxxx dx d x x xx dx d ??????? ?? ? ? ? ? ? ?? ? ? ? ? 2 243 13484 x xxxxx ?????? ? 2 24 343 x xx ?? ? Now simplify.
- 4. Thank you