Find the radius of curvature at the point `(1,1)` on the curve `x^4+y^4=2`

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

The radius of curvature of the curve y^2=4x at the point (1, 2) is

Find the equation of the curve passing through the point (1,0) if the slope of the tangent to the curve at any point (x,y)is(y-1)/(x^(2)+x)

Find the equations of the tangent and the normal to the curve x^2=4y at (2,\ 1) at indicated points.

Find (dy)/(dx) for the curve x^(2)=y at the point (1, 1).

Find the equation of the normal at a point on the curve x^(2)=4y , which passes through the point (1,2). Also find the equation of the corresponding tangent.

Find the equations of the tangent and the normal to the curve y = x^(4) - 6x^(3) + 13x^(2) - 10x + 5 at the point (1, 3)

Find the slope of tangent of the curve y =4x at the point (-1,4).

Find the equations of the tangent and the normal to the curve y=x^2+4x+1 at x=3 at the indicated points