BITSAT 2

if y=sin-1(cos x) , then dy/dx=?
a)sin2x b) sinx
c)-1 d)none

16 Answers

1
sushrut17 ·

c

1
AARTHI ·

yup c -1

1
kamalendu ghosh ·

yup it is c but..my doubt is u get something like -sinx//sinx/...so how can u say it is -1 for sure?

1
AARTHI ·

okie if +1 is also der den der mite b an ambiguity

so here we hav -1

1
AARTHI ·

okie if +1 is also der den der mite b an ambiguity

so here we hav -1

1
kamalendu ghosh ·

why not none of these then....

1
AARTHI ·

haan...im stck

1
AARTHI ·

haan...im stck

1
Bhaskar Mukherjee ·

yesss!!!
it shld be none of dese bcoz u r gettin smthin lik [-sinx/mod(sinx)]
so when we sinx 2 b +ve we hv answer 2 b (+1) && if sinx is -ve den d answer is (-1)

do u guys agree???

1
kamalendu ghosh ·

i agree (post #4)

1
skygirl ·

but i got -1 only.... [12]

y = sin-1cos(x)
= sin-1sin(Î /2 - x) [hope x is between 0 to pi ]

dy/dx = -1.

i think they didn take any limits into account.

1
sindhu br ·

even i got -1

11
Mani Pal Singh ·

here's a other look at this perspective
see it like

sin-1(sin√1-x2)
=√1-x2
dy/dx= none of these
but #12 is perfect and so as mine

so the question is ambigious[1]

1
neil.dhruva ·

how is cos x = sin√1-x2 ??

1
kamalendu ghosh ·

I am commenting on post #12,

according to sky sin-1(sin(Î /2-x))=Ï€/2 - x....
but that is true for a certain limit of interval.. (as sky said "hope x is between 0 to pi") . so the q is really ambiguous

1
skygirl ·

yes i the q IS ambiguous.. they should have specified the limit..

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