Find the equation of the tangent to the `c u r v ey={x^2sin1/x ,x!=0 0,x=0 `at the origin

The equation of the tangent tothe curve y={x^2 sin(1/x),x!=0 and 0, x=0 at the origin is

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 parabola 9x^2+12 x+18 y-14=0 which passes through the point (0, 1).

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

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 y = x^(2) + 3x + 2 at (0, 2)

Find the equations of the tangent: to the parabola y^(2)=16x , parallel to 3x-2y+5=0

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

Find the equations of the tangent to the given curves at the indicated points: y=x^(2) at (0,0)