Find derivitive by implicit differentiation

Question

Find dy/dx

 by implicit differentiation.

tan⁻¹(5x²y) = x + 2xy²

 

Answer 1

If y= arctan x

dy/dx = 1/(1+x^2) so...

(1/(1+ 25x^4y^2))(10xy + 5x^2(dy/dx)) = 1 + 2y^2 + 4xy(dy/dx) and simplify and solve for dy/dx