show that the line x/p+ y/q =1, touches the curve y=e^(-x/p) at the point where it crosses the y axis
When the curve crosses the y-axis, x=0.
At x=0,
So, the curve crosses the y-axis at (0, q).
Now, equation of the tangent to y at (0, q) is:-
Hence Proved.
When the curve crosses the y-axis, x=0.
At x=0,
So, the curve crosses the y-axis at (0, q).
Now, equation of the tangent to y at (0, q) is:-
Hence Proved.