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.

BACK

Grade 12Differential Calculus

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

basit ali

14 Years agoGrade 12

2 Answers

Chetan Mandayam Nayakar

14 Years ago

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.