Page 155 - Math Grade 11 (Basic)

PROEUS DARA

2
lim f(x +h) f(x) _ lim 2xh + 3h + h
h o h h-o
= lim ( 2x + 3 + h) = 2x + 3
h -> 0

2. H'l f'(O) = 2 X 0 + 3 f'(-1) = 2(-1)+3 = 1

nnHur1h~
u n
n. tt!hftaMIU1tH~td~ Ma~tiaMW~MblW StH~t~ta)jru~nncraa&d~ah
I l JJ I I 1J

= c l:?'iOlS :

= lim"-'---!-~-'- = lim c- c = lim 0 = 0
h () /z->0 h->0

I dj f(x) = c [;frlg f'(x) = 0 I

0 et r:J eJ
11
ul:m8~S?'i'i:3Sft5li5?1Mhlli5 j'(x) = X r:L:Jru nEIN !:?'iQlS
l JJ I ·
11 11
f(x+h) f(x) = (x+h) -X
fi'ltl U = X + h ttfl I1J h = U -X ttl h __,. 0 b frl g U __,. X

) ( n l
( )
n
(
n
)
'(
!:?'iQlS: fx+h-fx =u-x = u xu +u 11 2 x+ ... +x 11- I )
n-1 n-2 11-l)
= h(u +u x+ ... +x
f'(x) = limf(x+h)-f(x) = 1im(un-I+un-2x+ ... +x"-l) = x" J+xn I+ ... xn I= nx" I
hO h ux ~
n n
I.J
~ 11 n-1
m f(x) = X tfrlg f'(x) = nx
o cr o c:p cr
- mmg~S?'i'i:3Sdbli?'iM13SSI:G~Sb~S?'i'i:3S : y = kf(x)
1 I 1.J 1
l:?'iOlS y' = lim kf(x +h) kf(x) = k lim f(x +h) f(x) = kf'(x)
h-0 h h->0 h

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