Find the equation of the tangent to the curve
(i) `y = x logx +1at(1,1)`

Find the equation of the tangent to the curve (iv) y^2 = 4x +5at (1,3)

Find the equation of the tangent to the curve (ii) x^2 +5y^2 = 9at (2,-1)

Find the equation of the tangent to the curve v) x^2+xy+y^2 = 3at(1,1)

Find the equation of the tangent to the curve y=x log_e x + 2 at the point (1, 2).

Find the equation of the tangent line to the curve y = x^2-2x+7 which is parallel to the 2x -y +9 = 0

Find the inclination of the tangent to the curve 2y = 2-x^2 at the point(1,1/2)to the positive X-axis.

Find the equation of the tangent to be curve y=f(x) at (x_(0),y_(0)) , if (dy)/(dx) does not exist at this point.

Find the equation of the tangents to the circle x ^2 + y ^2 - 2x - 4y - 4 = 0 which are perpendicular to the line 3x - 4y - 1 = 0

Find the sldpe of the tangent to the curve y(x^2+1) =x at the point (1,1/2)

Find the sldpe of the tangent to the curve xy = 1 at the point (1, 1)