Find the equations of the tangent and normal to the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1`. at the point `(x_0,y_0)`

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x0, y0).

Find the equation of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x_(0),y_(0)) .

Find the equations of the tangent and normal to the curve y = x^(2) at (0,0).

Find the equations of the tangents and normal lines to the y = x^2 at (0, 0)

Find the equations of the tangent and normal to the parabolas: x^(2)+2x-4y+4=0 at (0,1)

The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point ( x_(1),y_(1)) is-

Find the equations of the tangent and the normal to the curve (x^2)/(a^2)+(y^2)/(b^2)=1 at (x_1,\ y_1) at the indicated points.