Find the slope of the tangent of the following curve at the given point: `x^2/a^2+y^2/b^2=1 ` at (a,b)

Find the slope of the tangent of the following curve at the given point: x^(2/3)+y^(2/3)=a^(2/3) at (a,b)

Find the slope of the tangent of the following curve at the given point: y=2x^2+1 at (2,9)

Find the slope of the tangent of the following curve at the given point: x^2+y^2=16 at (-4,2)

Find the slope of the tangent of the following curve at the given point: y^2=16x at (2,-2)

Find the slope of the tangent of the following curve at the given point: 2x^2+2y^2-3x-4y+1=0 at (1,2)

Find the slope of the tangent of the following curve at the given point: x=tantheta y=cot theta at theta=pi/4

Find the equation of the tangent and normal to the following curve at the given point : x^2/a^2+y^2/b^2=1 at (x_1,y_1)

Find the equation of the tangent and normal to the following curve at the given point : x^2/a^2-y^2/b^2=1 at (x_0,y_0)

Find the equation of the tangent and normal to the following curve at the given point : y^2=12x at (3,6)

Find the equation of the tangent and normal to the following curve at the given point : x^3+y^3=2 at (1,1)