I was wondering if there's a widged that can help me calculate or form a function of when I know the two intervals.
example: Create a function f(x) that has a postivie derivative interval (-1 , 0) and a negative derivative interval (0,1)
f(x) = ?
If there aint one, anyone who can give me a step by step solution cause I am completly lost on how to do it.
Take, for instance
f(x) = - x^2
(you know the notation x^2 ? It means x squared, also known as x times x). You should be able to verify (without using Mathematica) that this function satisfies your condition. Otherwise you are in the wrong course.
Hi there!
Thanks for the answer, but I'm not exactly sure what to do with those lines. I copied it into the Wolfram search bar and got a page up, would the answer to my question be the diffrential equation solution? The reason I'm asking is the fact that I can't actually write it like that in the online course I'm taking and I need a "normal" function and I don't know how to begin making one.
One way is with DSolveValue:
DSolveValue[{f'[x] == Piecewise[{{1, -1 < x < 0}, {-1, 0 <= x < 1}}], f[0] == 0}, f[x], x] Plot[%, {x, -2, 2}]
