Mathematics
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OpenStudy (anonymous):
plz help
diffrentiate
2{cot(x^2)}^1/2
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hartnn (hartnn):
first tell what is differentiation of x^1/2?
and have u studied chain rule?
OpenStudy (anonymous):
1/2(x)^1/2
hartnn (hartnn):
right,so differentiation of cot (x^2)^1/2 will be?.....before applying chain rule..
OpenStudy (anonymous):
1/2(cotx2)^1/2
hartnn (hartnn):
right,now if u know chain rule,what will get multiplied to this??
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OpenStudy (anonymous):
-sin(x^2)
OpenStudy (anonymous):
\[-2x (\csc^2 x^2) / \sqrt{\cot x^2}\] please check if I'm right.
OpenStudy (anonymous):
2x afterwards
hartnn (hartnn):
how sin (x^2) ?? what is d/dx of cot x ?? the 2x part afterwards is correct....
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
i was doing that mistake only
OpenStudy (anonymous):
[-\csc^2 x\]
hartnn (hartnn):
according to standard formula its - cosec ^2 x
OpenStudy (anonymous):
ok thanks now i try it
hartnn (hartnn):
post the final answer u get,so that we can verify....
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
-2xcosec^(x)^2/{cot(x^2)}^1/2
hartnn (hartnn):
yup u are correct :)
OpenStudy (anonymous):
i got this answer aim was right but in ncert answer is -2\[\sqrt{2} x/\sin(x)^2\sqrt{\sin2x^2}\]