The length of the subtangent at any point `(x_1,y_1)` on the curve `y=5^x` is

The length of the subtangent at any point on the curve y=be^(x/3) is

The length of tangent at a point P(x_(1),y_(1)) to the curve y=f(x) ,having slope m at P is

The length of the subtangent at (2,2) to the curve x^(5)=2y^(4) is

The subtangent at any point on the curve x^(m)y^(n)=a^(m+n) varies as

The product of the lengths ofsubtangent and subnormal at any point x,y of a curve is

The slope of the tangent to a curve at any point (x,y) on its given by (y)/(x)-(cot y)/(x)(cos y)/(x),(x>0,y>0) and the curve passes though the point (1,pi/4)* Find the equation of the curve.

The lengths of tangent, subtangent, normal and subnormal for the curve y=x^(2)+x-1 at (1,1) are A,B,C and D respectively, then their increasing order is

If length of tangent at any point on the curve y=f(x) intercepted between the point and the x -axis is of length l. Find the equation of the curve.