Find the equation of tangent to `y=int_(x^2)^(x^3)(dt)/(sqrt(1+t^2))a tx=1.`

Find the equation of tangent to the curve y=sin^(-1)(2x)/(1+x^2)a tx=sqrt(3)

If f(x)=int_(2)^(x)(dt)/(1+t^(4)) , then

Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1)

Find the equation of tangent and normal to the curve x=(2a t^2)/((1+t^2)),y=(2a t^3)/((1+t^2)) at the point for which t=1/2dot

Find the equations of the tangent and normal to the curve x^(2/3)+y^((2)/(3))=2 at (1,1).

Find the equation of the tangent at t =2 to the parabola y^(2) = 8x .

Find the equations of the tangents to the curve y=1+x^(3) for which the tangent is orthogonal with the line x + 12y = 12.

Find the equation of the tangents to the curve y = 1 + x^(3) for which the tangent is orthogonal with the line x + 12y = 12 .

Find the equation of tangent to the circle x^(2) + y^(2) + 2x -3y -8 = 0 at (2,3)