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Learn how to find derivatives of quotients using the Quotient Rule in calculus. Practice problems included.
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December 6, 2012 AIM: How do we find the derivative of quotients? Do Now: Find the derivatives HW2.3b Pg. 126 - 128 #7 – 11 odd, 15, 65, 81, 95, 105 – 108
The Quotient Rule How can we find the derivative of Or, we can use the Quotient Rule: If f and g are differentiable functions, then f/g is a differentiable for all x such that g(x) ≠ 0, and “The bottom times the derivative of the top minus the top times the derivative of the bottom over the bottom squared”
Example Use the product rule to find the derivative of Step 1: Define f(x) and g(x) Step 2: Find f’(x) and g’(x) Step 3: Plug into formula and simplify
Practice • Find • Find
Practice! 1. 4. 2. 5. 3. 6.