1 Differentiation Learning Outcomes Differentiate polynomial trigonometric exponential
- Slides: 23
1 Differentiation – Learning Outcomes Differentiate polynomial, trigonometric, exponential, and logarithmic functions. Differentiate sums and real multiples of these functions. Solve problems about composite functions using the chain rule. Solve problems about products and quotients using product and quotient rules. Find higher derivatives of functions, particularly second derivatives.
2 Differentiate Polynomial Functions
3 In words, “multiply by the current power, then reduce the power by 1” Differentiate Polynomial Functions
4 Differentiate Polynomial Functions e. g. Find the derivative of each of the following functions:
5 Differentiate Polynomial Functions
6 Differentiate Polynomial Functions e. g. Find the derivative of each of the following functions:
7 Differentiate Trigonometric Functions
8 Differentiate Exponential Functions
9 Differentiate Logarithmic Functions
10 Differentiate Functions
11 Solve Problems about Composite Functions Remember your order of operations here!
12 Solve Problems about Composite Functions Notice how the fractions reduce! This is called the chain rule. Aside
13 Solve Problems about Composite Functions
14 Solve Problems about Composite Functions 2003 HL P 1 Q 6 2004 HL P 1 Q 6 2005 HL P 1 Q 6 2012 HL P 1 Q 6 2011 HL P 1 Q 6
15 Solve Problems about Products Aside
16 Solve Problems about Products
17 QB T 6 P 1 Q 39 Solve Problems about Products QB T 6 P 2 Q 21 2004 OL P 1 Q 7 2005 OL P 1 Q 7 2007 OL P 1 Q 7
18 Solve Problems about Quotients Aside
19 Solve Problems about Quotients e. g. Find the derivative of each of the following:
20 QB T 6 P 1 Q 4 Solve Problems about Quotients QB T 6 P 3 QB T 6 P 4 Q 10
21 Find Higher Derivatives
22 Find Higher Derivatives
23 QB T 6 P 2 Q 24 Find Higher Derivatives 2012 HL P 1 Q 6