1. BASIC DIFFERENTIATION RULES AND RATES OF CHANGE
Section 2.2

2. When you are done with your homework, you should be able to…
Find the derivative of a function using the Constant Rule
Find the derivative of a function using the Power Rule
Find the derivative of a function using the Constant Multiple Rule
Find the derivative of a function using the Sum and Difference Rules
Find the derivatives of the sine function and the cosine function
Use derivatives to find rates of change

3. THE CONSTANT RULE
The derivative of a constant function is zero. That is, if c is a real number, then

4. Find the slope of -3
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5. -3
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6. THE POWER RULE If n is a rational number, then the function
is differentiable and
For f to be differentiable at n must
be a number such that is defined on an interval containing 0.

7. Evaluate

8. Evaluate
Both A and B

9. THE CONSTANT MULTIPLE RULE
If f is a differentiable function and c is a real number, then cf is also differentiable and

10. Evaluate

11. Evaluate the derivative of at81
-162
-810
-486

12. THE SUM AND DIFFERENCE RULES
The sum or difference of two differentiable functions f and g is itself differentiable.
The derivative of the sum or difference of functions is the sum or difference of the derivatives of f and g.

13. DERIVATIVES OF SINE AND COSINE FUNCTIONS

14. Evaluate the slope of the graph at
1/2
-1/2

15. RATES OF CHANGE
Velocity
Average Velocity
Instantaneous Velocity