10.Find the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)

g(x) = 2x³ 3x² + 8x 2

(x, y) =

11. Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist, enter DNE.)

g(x) =3x²+7x+5

relative maximum

(x,y)

=

DNE

relative minimum

(x,y)

=

12. Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)

f(x) = x² x 4 on [0, 4]

maximum

minimum

14. Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)

f(x) = x² + 4x + 2 on [4, 7]

maximum

minimum

13. Consider the following function.

g(x) =x²2x5on [0,6]

Find the derivative of the function.

g'(x) =

2x2

Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

x=

Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)

maximum

minimum