2.2A Derivative
Rules I
Constant Rule:
d
c   0
dx
Power Rule:
 
d n
n 1
x  nx
dx
Sum & Difference Rule:
d
 f x   g x  
dx
d
d
f x   g x 
dx
dx
Ex 1: Find f’(x):
a)
1
f ( x)  2
x
b)
f ( x)  x
3
2
Find the equation of
the tangent line to f(x)
at (1, 1):
Ex 2:
f ( x)  x x
Find points on the curve
where the tangent line is
horizontal:
Ex 3:
3
f ( x)  x  2 x
HW – 2.2A pg. 115
#1 – 17 odds
#25 – 29 odds
#39 – 49 odds
#53 – 59 odds
#63, 65, 67
Exponential Function:
 
d x
x
a  ln a a
dx
Definition of e:
the number such that
 1
lim 1  
n 
 n
n
Definition of e:
the number such that
e 1
lim
1
h 0
h
h