Q. 104.0( 4 Votes )

Differentiate with respect to when

Answer :


Given : Let u = and v =


To differentiate : with respect to


Formula used : n.




The CHAIN RULE states that the derivative of f(g(x)) is f’(g(x)).g’(x)


Let u = and v =


Substitute x = cosθ in u


u = = =


u = = =


u = =


Differentiating u with respect to x


=


Substitute x = sinθ in v ,


v = = =


v = = =


v = = =


v = =


v =


Differentiating v with respect to x


=


=


= =


Ans.


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