Find the length of sub-tangent to the curve `y=e^(x//a)`

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

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

Find the equation of tangent to the curve y= x^(3)-x , at the point at which slope of tangent is equal to zero.

Find the slope of the tangent to the curve y=(x-1)/(x-2), x!=2 at x= 10 .

Find the equation of tangent of tangent of the curve y = b * e^(-x//a) at that point at which the curve meets the Y-axis.

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

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

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.

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