Question

If g(x) =x^3 -x^2 +x show that there exist such a number c that g(c) =10

Answer 1

Taking derivatives will be helpful here

Answer 2

can u show teh steps

Answer 3

Yes, I can show them

Answer 4

thnaks

Answer 5

I think the only way to solve this is by graphing

Answer 6

cant we use limits

Answer 7

Yeah, we could

Answer 8

we can utilize the definition of a derivative:
limx−>cg(c)−g(x)c−x i think

Answer 9

but im not sure hpw to go on from there

Answer 10

are u going 2 show teh steps