Q. 85.0( 1 Vote )

Differentiate with respect to

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 =


Differentiating u with respect to x


= = . =


= . = . =


=


For v =


Let x = tan θ


= = ) = 3θ = 3


= 3


Differentiating v with respect to x ,


= =


=


=


= =


=


Ans.


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