Question

Find where all local extrema occur (local max or min)
g(x) = x^2-x-12

Answer 1

@Laylalyssa

Answer 2

@darkknight

Answer 3

yay, calc. In the future if you need help with this subject
peeps to tag
shadow, dude, vocaloid, me, imqwerty, jhonyy9 and a few others

Answer 4

now to the problem,
find the first derivative
g'(x) = 2x-1

Now x = 1/2 is a zero.

When we plug in 0 to the derivative equation, we get a negative number, if we plug in 2, we get a positive (i picked a random number on either side of 1/2)
When the derivative changes from - to + we have a local min at the point of interest

Answer 5

@Ashoka do you know when has a quadratic a min or when has a max ?

Answer 6

@darkknight sorry - what than the student dont learned again about derivation ?

Answer 7

I learned this recently in class too @jhonyy9 to find the local extrema you find the derivative, then find if the values are positive or negative on either side. If the sign changes from + to - ou have a local max, and from - to + you have a local min

Answer 8

yes that makes sense darkknight Thank you!

Answer 9

ok this is good but if the student dont learned again about derivative so than how you solve it ?

Answer 10

so i say first of you talk about derivative you need ask than he or she ve learned about this

Answer 11

but really this is good correct way to solve it

Answer 12

I helped this user once b4. Ik that they are in calc, so that's why i was assuming this is what they learned

Answer 13

and thx jhonyy9

Answer 14

ok np