Differentiate with respect to

Let and.


We need to differentiate u with respect to v that is find.


We have


By substituting ax = tan θ, we have







On differentiating u with respect to x, we get




We know and derivative of a constant is 0.





We know




Now, we have


On differentiating v with respect to x, we get




We know





We know and derivative of a constant is 0.





We have





Thus,


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