Question

The following is a derivative, what would be an equation modeling it and the original function (integral)?

Answer 1

1/(x^2+1)

Answer 2

is the max on the y-axis or in first quadrant as shown by your graph?

Answer 3

In the first quadrant

Answer 4

ok so just do a horizontal translation 1 unit to the right...
1/[(x-1)^2+1]

Answer 5

Ok, but how would you integrate that?

Answer 6

that's the arctan formula...
\[\int\limits_{?}^{?}\frac{dx}{a^2+x^2}=\frac{1}{a}\arctan(\frac{x}{a})+C\]

Answer 7

Wierd, I had never heard of that.

Answer 8

really?, you've never taken the derivative of arctan x?
derivative of arctan x is 1/(x^2 + 1)

Answer 9

Nope, but thanks anyway!