21ani : chk da Que, isnt the co-eff of x^101 2 as then it gets simpler in calculation
If\; f(x)=x^{101}+2x^{11}+2x+7\; and\; g(x)\; is\; the\; inverse\; of\; f(x),\; then\; g'(1)\; is??
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13 Answers
11Options are (a)\frac{1}{2}\; \; \; \; (b)\frac{-1}{2}\; \; \; \; (c)\frac{-1}{2}<g'(1)<\frac{1}{2}\; \; \; \; (d)none\; of\; these
21
11@archana
g(f(x))=x
g'(f(x))f'(x)=1
g'(f(x))=1/f'(x)
now we have to find the value when f(x) becomes 1
x=-1.01..... (something)
g'(1)=1/f'(-1)
g'(1)=1/125
so the answer is C
11bhai i never said f(-1)=1 but something very close to -1 which is left of -1
that is the reason y i wrote (something)
in the options option is given in the interval from -1/2 to 1/2
saaala 12 ko q chood ke a gaya
dimmag ke kutte nahin chaal rahe the us waqt
bada matha maara iske saath
par attemp nahin kar paya:(
21oh okay!!!
Cele : i too did it the same way, thats y i asked for co-eff 2