Page 192 - Math Grade 11 (Basic)

PROEUS DARA

o m~n.rtLQltl9fUCEl'i5~i;hh2hLmtHntl f U'i~ (x , y )
0
0
m = lim f(x)- f(xO) = dy(x ) = f'(xo)
0
X -> x X - Xo dX
0
o fU~mm~~thahLmtimb f U'i~ (x , y )
0
0
Y- Yo = f'(xo)(x- xo) ~ Y = f'(xo)(x- Xo) +Yo

c' C» C) I
f dl~Hl?l'!HlUHsitrutHSlg (a, b) rugumtfi f'(x)<O 'il!i'i5 xE(a, b)
w
1 1 ..., l
d ~ C) 1
f dl~Sl!i'iHHt:HtrutHSlg (a, b) ruguffl&fi.f'(x) = 0 H'l'i5 xE (a, b)
I GV 1 W

0
l f'(x) < 0 0
f'(x)>O tHmg X<Xo
f'(x) = 0 mmg x = o

0
tHmg X <Xo
0
mmg x = o

f'(x ) = 0
0
f 'i:fl2~ftm'i:fltu'1'i5'ifi~ x 0 mrurun
U G { f"(x ) < 0
0
.,. U , {f'(xo) = 0
f 'i:flS~fim'i:flm ti'ifitl x 0 mrurun
G f"(x ) > 0
0
0 0 I '1::1 C) cJ II 4::»
o nn.rp:; I(x , y ) dlullijm'i5m2&2J&mtlmb t mrurun&2J&mtltQltl ( ~l:lfi} Gru
0
0
[a, x ] ttflrunfi ( ~tmh) tru [x , b]
0
0
o ~mJmnUllijum~&s&'2J&mhmh t
atms9J ~fi f"(x)

atms92 ttiHLNlrufU~ma f"(x) = o

dtms93 MfiJlfU~ts f"(x)

tru~s&snruSl : Ulliju M(x = f(t)) 'i:flStru~s v = ~~ = f'(t)

9 .. " "' 3 2
- ~u~mrl ShLm'i5&2~9l!i'i§S y = ax + bx +ex+ d (a"' O)