How do I do this problem?

[desert shoal]

Integrate both sides dx.

I mean, obviously, right? Fundamental theorem of calculus.

[tulip tangle]

5x+C you know it's first derivative is 0 at x=2
5(2)+C=0
C=-10
5x-10
5x²/2 - 10x + C
10-20+C=10
C=20
5x²/2 - 10x + 20

[desert shoal]

Or I guess you could just straight up give them the answer instead of helping them learn.

[tulip tangle]

yup

if they actually want to learn then they will learn from it, if they're not interested in learning then I'm not wasting my time on someone that's only listening because they have to finish their homework

[desert shoal]

I mean, it's not a waste of time if they never respond, and if they do respond that's an opportunity to work with them, which will give them better odds of retaining what you teach them because they're directly engaged with the process.

[tulip tangle]

if you look at other times I've helped people, if they ask questions then I will explain/walk them through it

[turbid rampart]

I want to learn actually

[turbid rampart]

how do I do it without using said theorem? is there a way?

[desert shoal]

...no? Obviously there's no way to go from a derivative of a function to the function without integrating.