find first derivative of y=x.tan^-1.x
Answer (1)
5th Jan, 2021
Dear student,
Our given equation is y = xtan^-1x
So we have to find first derivative or dy/dx.
Now, two functions are multiplied to each other so we will use the product rule of differentiation.
So, dy/ dx = x (1/1+x^2) + tan^-1x (1)
So, our answer is :-
dy/dx = tan^-1x + x/(1+x^2).
Our given equation is y = xtan^-1x
So we have to find first derivative or dy/dx.
Now, two functions are multiplied to each other so we will use the product rule of differentiation.
So, dy/ dx = x (1/1+x^2) + tan^-1x (1)
So, our answer is :-
dy/dx = tan^-1x + x/(1+x^2).
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