Draw the curve `y=e^(x)`

Find the area (in sq. unit) bounded by the curves : y = e^(x), y = e^(-x) and the straight line x =1.

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

Find the angle at which the curve y=K e^(K x) intersects the y-axis.

The largest area of a rectangle which has one side on the x-axis and the two vertices on the curve y=e^(-x^(2) is

Show that x/a+y/b=1 touches the curve y=be^(-x//a) at the point, where the curve crosses the y-axis.

Fill in the blanks: The equation of the tangent to the curve y = e^(2x) at the point (0,1) is__________.

The tangent to the curve y=e^(x) drawn at the point (c, e^(c)) intersects the line joining the points (c-1, e^(c-1)) and (c+1, e^(c+1)) .

The area bounded by the curve y=xe^(-x),y=0 and x=c, where c is the x-coordinate to the curve's inflection point, is

The slope of the tangent to the curve y^2e^(xy) =9e^(-3)x^2 at (-1,3) is