Question

I need help with this please

x^3−3x^2+2x−17 on the interval [0,2]

Find the values c that satisfy the conclusion of Rolle's theorem.

Answer 1

good Question. :)

Answer 2

Find f'
Then solve f'(c)=0
for c

Answer 3

\[f(x)=x^3-3x^2+2x-17\]
What is f'(x)?

Answer 4

3x^2 - 6x + 2

Answer 5

Now \[f'(c)=3c^2-6c+2\]
Set f'(c)=0 and solve for c
\[3c^2-6c+2=0\]

Answer 6

ok i got it thanks

Answer 7

:)