Find the equation of the tangent at the point `(x,y)` of the curve :
` (x^(2))/(a^(2))+(y^(2))/(b^(2))=1`

The equation of the tangents at the origin to the curve y^(2)=x^(2)(1+x) are

Find the equation of the tangent to the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (sqrt(2)a, b) .

find the equation of the tangent to the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the point (x_(1),y_(1))

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.

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

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

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

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

Find the solpe of tangent at point (1, 1) of the curve x^(2)= y .

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)) .