The curve `f(x)=x^(2/3)` ,at the point with x=0 ,has

The curve f(x)=x at the point with x = 0 , has 1) vertical tangent 2) horizontal tangent 3) no vertical tangent 4) none of these

The equation of the normal to the curve y=x(2-x) at the point (2, 0) is

The angle between the tangents to the curve y=x^(2)-5x+6 at the point (2, 0) and (3, 0), is

The angle between the tangents to the curve y=x^(2)-5x+6 at the point (2, 0) and (3, 0), is

Find the equation of normal to the curve y(x-2)(x-3)-x+7=0 at that point at which the curve meets X-axis.

Let f :[0,2p] to [-3, 3] be a given function defined at f (x) = cos ""(pi)/(2). The slope of the tangent to the curve y = f^(-1) (x) at the point where the curve crosses the y-axis is:

Using Rolle's theorem prove that there exista point between ]1,0[ and ]3,0[ on the curve f(x)=x^(2)-4x+3 at which the tangent is parallel to x-axis.

Prove that the tangents to the curve y=x^2-5x+6 at the points (2, 0) and (3, 0) are at right angles.

The derivative of f(x)=3|2+x| at the point x_(0)=-3 is