5.3: The Natural Expatial Function
Reculli fex)= lacks = {* = dt
In (2) = 1
Eulers number
0≈2.718
1
√x ln(x) = = = 20 (for xsol
so, y=locks is H
yalıces
Claim: f'(x) = ex is the inverse of f(x) = ln(x)
"Natural Exponential function
Why? +(f(x)) = lace*) = xlaces =x-( =x
Facts: 1. lale )=x for all x
2. ebas
X
=> for xx
3. 2² = 6 az
= 14(b)
examples:
ม
Solve 215-4x=14
5-4x
=7
с
54x4(e) = \n(7)
-4x=-5+ln (7)
x=
5-In (7)
4
6) solve In (3+2x)=4
3+2x=e
4
2x = e² 3
K
=
04-3
Note: 3+ 2x 70
2
Domain of 19 is (0,00)
Reculli fex)= lacks = {* = dt
In (2) = 1
Eulers number
0≈2.718
1
√x ln(x) = = = 20 (for xsol
so, y=locks is H
yalıces
Claim: f'(x) = ex is the inverse of f(x) = ln(x)
"Natural Exponential function
Why? +(f(x)) = lace*) = xlaces =x-( =x
Facts: 1. lale )=x for all x
2. ebas
X
=> for xx
3. 2² = 6 az
= 14(b)
examples:
ม
Solve 215-4x=14
5-4x
=7
с
54x4(e) = \n(7)
-4x=-5+ln (7)
x=
5-In (7)
4
6) solve In (3+2x)=4
3+2x=e
4
2x = e² 3
K
=
04-3
Note: 3+ 2x 70
2
Domain of 19 is (0,00)
