The tangent to the curve `y = x^2 + 3x` will pass through the point `(0, - 9)` if it is drawn at the point

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

The tangent to the curve 5x^(2)+y^(2)=1 at ((1)/(3),-(2)/(3)) passes through the point

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 equation of the curve passing through the point (0, -2) given that at any point (x , y) on the curve the product of the slope of its tangent and y coordinate of the point is equal to the x-coordinate of the point.

The slope of tangent at a point P(x, y) on a curve is - x/y . If the curve passes through the point (3, -4) , find the equation of the curve.