1. 3.1 Definition of the Derivative & Graphing the Derivative

2. These are all ways to denote the derivative
f prime of x or the derivative of f(x)
f prime or the derivative of f
y prime
dy dx or the derivative of y with respect to x
dy dx or the derivative of f with respect to x
d dx of f at x or the derivative of f at x

3. The derivative of a function f with respect to the variable x is the function f’ whose value at x is
Provided the limit exists

4. Find the equation of the derivative using the definition of the derivative

5. Find the equation of the derivative using the definition of the derivative

6. Find the equation of the derivative using the definition of the derivative

7. Find the equation of the tangent line to f(x) at x=2

8. Graph of Derivative

9. Graph the derivative

10. Graph the derivative
m=0
m= 15
m= -5
m=10
m= -6
m= 0
m= 8
m=17