Question

given a differential equation, for what values of y is y increasing/decreasing?

Answer 1

i found out that y' = y^(y-5)(y-1)

Answer 2

how to find part b and c?

Answer 3

You have to take the second derivative, which in equations of motion gives the acceleration, in this case it will give the maximum and minimum when you equate the second derivative with 0. Second derivative = 4y^3 - 18y^2 + 10y. Confirm the derivatives though. But i think thats how its solved.

Answer 4

so i just have to subs the value in 2nd derivative?

Answer 5

Yes, you get the maximum and minimum that way, which will then have to be converted to inequalities to get the range. All the best :)
Which standard are you in however?

Answer 6

okay so means that if i get y<0, then it is decreasing? omygosh i forgot abt this already.. calculus btw

Answer 7

i think i got it alr haha , thanks anw!(:

Answer 8

You're welcome :)