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Find the absolute maximum and absolute minimum values of on the given interval.

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 Find the absolute maximum and absolute minimum values of  on the given interval.
f (x) = 2x- 3x- 12x + 1,    [-2, 3]
asked Jan 22, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The function and the interval is .

Differentiate the function with respect to

Find the critical numbers of on the interval by setting .

and .

Critical numbers are and .

Step 2:

Find the values of at these critical numbers.

image

step 3:

Find the values of at the end points of the interval.

image

image

image

image

Compare the four values of to find absolute maximum and absolute minimum.

Absolute maximum value is image

Absolute minimum value is image

Solution:

Absolute maximum value is image

Absolute minimum value is image

answered Jan 22, 2015 by cameron Mentor
edited Jan 22, 2015 by cameron

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