Question

Prove that equation of the line tangent to the parabola (x^2)/a^2-(y^2)/b^2=1 at the point M(x1,y1) is (xx1)/a^2-(yy1)/b^2=1

Answer 1

take the derivative implicitly and solve for y'
then sub that expression for y' into point-slope form to get the equation of the tangent line\[y-y_1=m(x-x_1)\]

Answer 2

where\[m=y'\]at the point in question

Answer 3

Thanks