2.2 The Doritative as a function
Def. The derivative of fas is the function your
f(x) = lim res-f(a)
400
h
The domain of a) is the set of x-values where the
limit done Grists. Was and we sing it is differitze
x=α it eas exists
soy
that f is differentable at
46
the interval from (a,b) if for exists for all x in (wb)
exampla: fexs -Jx Find ax and graph both functions
f(x) = live Sith - 5x
h+c
=
4th-*.
hxth + Jx)
∙D: (0,00)
f(x)
D:(0,60)
Fial
lin
chos
• 5xth + J X
1
The slopes of f
are positive but
decreasing
X increases whereas
= 25x
+5X
I is differentiable on
this interval
the values of f'ure positive but
སར
decrausing sy & increases
fl fi fl fl
Def. The derivative of fas is the function your
f(x) = lim res-f(a)
400
h
The domain of a) is the set of x-values where the
limit done Grists. Was and we sing it is differitze
x=α it eas exists
soy
that f is differentable at
46
the interval from (a,b) if for exists for all x in (wb)
exampla: fexs -Jx Find ax and graph both functions
f(x) = live Sith - 5x
h+c
=
4th-*.
hxth + Jx)
∙D: (0,00)
f(x)
D:(0,60)
Fial
lin
chos
• 5xth + J X
1
The slopes of f
are positive but
decreasing
X increases whereas
= 25x
+5X
I is differentiable on
this interval
the values of f'ure positive but
སར
decrausing sy & increases
fl fi fl fl
