Find the slope of tangent of the curve `y=x^(2)` at point `((1)/(3),(1)/(9))`

Find the slope of tangent of the curve y =4x^2 at the point (-1,4).

Find the equation of tangent of the curve 6y=9-3x^(2) at point (1,1).

Find the slope of tangent to curve y=x+2log x at x=1.

Find the slope of the tangent to the curve y=x^2 at (-1/2,1/4) .

Find slope of tangent to the curve x^2 +y^2 = a^2/2

Find the slope of the tangent to the curve y = x^3- x at x = 2 .

Find the slope of the tangent to the curve y=x^3-3x+2 at the point whose x-coordinate is 3.

Find the slope of the tangent to the curve y=x^3-3x+2 at the point whose x-coordinate is 3.

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

Find the equation of the curve 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)