15 - Quotient Rule

How do we find the derivative of a function using the quotient rule? What are higher order derivatives?

Practice

2.3 # 25,41,69,81,93

Vocabulary

Differentiation rules, $f’, f’’,f’’’,\dfrac{\text{d}y}{\text{d}x}$

Study Questions

1. Prove the quotient rule using the limit definition of the derivative?
2. Verify that the derivative of a quotient does not equal directly the quotient of the derivatives? $$\dfrac{\text{d}y}{\text{d}x}\left(\dfrac{f(x)}{g(x)}\right)\neq\dfrac{\dfrac{\text{d}f}{\text{d}x}}{\dfrac{\text{d}g}{\text{d}x}}$$

Resources

1. Slide Deck: Lesson-15-Quotient-Rule-and-higher-order-derivatives