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Mathematics 21 Online
OpenStudy (dls):

Derivative

OpenStudy (dls):

\[\LARGE \frac{x}{\sin^nx}\]

OpenStudy (dls):

ATTEMPT:\[\LARGE \frac{\sin^n x-x^2 n \sin^{n-1}}{\sin^{2n}x^2}\]

OpenStudy (dls):

@hartnn

hartnn (hartnn):

how did u get x^2 ? and do you know chain rule ?

OpenStudy (dls):

\[\LARGE x(\frac{d(\sin^n x))}{dx}\] and yes

hartnn (hartnn):

using chain rule, \((d/dx)\sin^n x = n \sin^{n-1}x (d/ dx[\sin x]) \) got this ?

OpenStudy (dls):

oh and btw its a NCERT que so I dont think chain rule will be used

hartnn (hartnn):

without chain rule, this can't be solved..

OpenStudy (dls):

\m/

OpenStudy (dls):

okay thanks

hartnn (hartnn):

also, in the quotient rule has square of denominator, and \(\large (\sin^nx)^2= \sin^{2n}x\) only.

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