1. 2.2 Some Rules for Differentiation:Goal: to use short-cut rules to find derivatives Constant Rule: The derivative of a constant function is zero.

2. Ex. Find the derivatives of the following: ƒ(x)= -5 ƒ’(x) = 0 ƒ(x)= π ƒ’(x) = 0 ƒ(x)= √2 ƒ’(x) = 0

3. The Simple Power Rule: Ex. ƒ(x)= x5 ƒ’(x) = 5x4

4. Find the derivatives of the following: ƒ(x)= x2-5x+3 ƒ’(x) = 2x-5 ƒ(x)= 7x +8 ƒ’(x) = 7

5. The Constant Multiple Rule:If f is a differentiable function of x and c is a real number, then Ex. Find the derivatives of the following: ƒ(x)= 4x5 ƒ’(x) = 20x4

11. Find an equation of the tangent line to the graph of ƒ(x)= -x2 + 3x – 2 at the point (2, 0) f’(x)= -2x + 3 f’(2)= -2(2) +3 f’(2)= -4 + 3 f’(2)= – 1

13. y – 0 = -1(x – 2)

14. y = -1x + 2