21.4k views
5 votes
Find and label the critical points for
f(x) = x^4 - 6x^2 + 8x

User Pedroca
by
7.7k points

1 Answer

4 votes

Answer:

Explanation:

f

(

x

)

=

x

4

6

x

2

+

8

x

+

10

Find the first derivative.

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4

x

3

12

x

+

8

Set the first derivative equal to

0

then solve the equation

4

x

3

12

x

+

8

=

0

.

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x

=

1

,

2

Find the values where the derivative is undefined.

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Evaluate

x

4

6

x

2

+

8

x

+

10

at each

x

value where the derivative is

0

or undefined.

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(

1

,

13

)

,

(

2

,

14

)

image of graph

User RCohen
by
8.2k points