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

Find the equation of the normal to the curve y=(1+x)^y+sin^(-1)(sin^2x) at x=0.

Find the equation of the tangent to the curve y=(x-7)/((x-2)-(x-3)) at the point where it cuts the x-axis.

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

Find the equation of the common tangent to the curves y^2=8x and xy=-1.

Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0.

Find the equations of the tangents to the curve y=(x+1)/(x-1) which are parallel to the line x + 2y = 6.

Find the equation of tangent and normal to the curve y = x^(2) + 3x + 2 at (0, 2)

Find the equation of the tangent to the curve x^(2) + y^(2) = 5^(2) which are parallel to 2x + 3y =6

Find the equation of tangent to the curve given by x = a sin^(3) t , y = b cos^(3) t at a point where t = (pi)/(2) .