if m be the slope of a tangent to the curve e^y=1+x² then find mode of m.

e^y=1+x^2,          e^y(dy/dx)=2x,(1+x²)(dy/dx)=2x,(dy/dx)=(2x/(1+x²), ((y-log_e(1+x_o^2))/(x-x_o))=(2x/(1+x^2))

((log_e(1+x^2)-log_e(1+x_o^2)))/(x-x_o)= (2x/(1+x²)), solve for x. An algebraic(non-numerical), closed form solution might be IMPOSSIBLE because the equation in x is a TRANSCENTAL EQUATION.

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