The distance between the origin and the tangent to the curve `y=e^(2x)+x^2` drawn at the point `x=0` is

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the point (1,3) is.

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

The equation of the tangent tothe curve y={x^2 sin(1/x),x!=0 and 0, x=0 at the origin is

The distance between the chords of contact of tangents to the circle x^2+y^2+2gx +2fy+c=0 from the origin & the point (g,f) is

The minimum distance between a point on the curve y = e^x and a point on the curve y=log_e x is

Find the equations of tangent and normal to the curve y=x^(2) - 2x -3 at the point (2, 3)

Find the equation of the tangent to the curve y=(x-7)/((x-2)-(x-3)) at the point where it cuts the x-axis.