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if m be the slope of a tangent to the curve ey=1+x2 then find mode of m.
ey=1+x^2, ey(dy/dx)=2x,(1+x2)(dy/dx)=2x,(dy/dx)=(2x/(1+x2), ((y-loge(1+xo^2))/(x-xo))=(2x/(1+x^2))
((loge(1+x^2)-loge(1+xo^2)))/(x-xo)= (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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