Where are the math geniuses?

[architectboy]

Try solving this problem: Find a function F(x) such that the slope of F(x), the area under the curve of F(x) and the arc length of F(x) are all identical.

If you can solve it without using differential equations, you are a genius
If you can solve it with using differential equations, you are a very hardworking math nerd

[tim]

@unknownuser said:

Try solving this problem: Find a function F(x) such that the slope of F(x), the area under the curve of F(x) and the arc length of F(x) are all identical.

IIRC that would be e^x and its relatives.

[architectboy]

That satisfies only half of the problem. The slope of e^x and the area under the curve of e^x are equal, but the arc length of e^x is different.