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Mathematics 15 Online
OpenStudy (anonymous):

again differentiation.

OpenStudy (anonymous):

try them yourself before posting.

OpenStudy (anonymous):

\[\cot ^{-1}[ \left[ \sqrt{1+sinx}+\sqrt{1-sinx} \right]\div \left[ \sqrt{1+sinx}- \sqrt{1-sinx}\right]]\]

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

m trying ..!! but dats tooo hard..

OpenStudy (anonymous):

@satellite73 help me out.!

OpenStudy (anonymous):

@genius12

OpenStudy (anonymous):

i think we need to "simplify" the inside part a bit

OpenStudy (anonymous):

just multiply the top and bottom of the fraction by the conjugate of the denominator to simplify things a bit. then apply chain rule and stuff with quotient rule and you're good.

OpenStudy (anonymous):

try \[\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}\] first

OpenStudy (anonymous):

rationalize the denominator, and you will get \[\frac{\sqrt{1-x^2}+1}{x}\]

OpenStudy (anonymous):

|dw:1371359829827:dw| dis wat it came after simplify .

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