Lesson
Quotient rule
[Formula]
If
where u and v are both functions of x, then
Example
Differentiate
Solution
Recall that if where u and v are both functions of x, then
u = x² + 1 v = x-1
u' = 2x v' = 1
Using this, we get
Question
Differentiate the function
Explanation
Use the quotient rule of differentiation, which says that if where u and v are both functions of x, then
u = x - 2 v = (x+1)²
u' = 1 v' = 2(x+1)
Using the formula, we have
