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In this video, we are gonna focus on this question.
00:03
Here given function fx that is equal x cube minus 6x square plus 5 for x belongs to closed interval minus 1, 2.
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So, find the critical points of function fx.
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Now derivative of fx that is equal 3 times x square minus 12 times x.
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So, f dash x that is equal 0 for critical points.
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Now x is common then 3x minus 12.
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So, x equals 0 or 3x minus 12 equals 0.
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So, critical point so critical point points are 0 or 4.
01:03
Now f0 that is equal 0 minus 6 times 0 plus 5 that is equal 5 and the value of f4 that is equal 4 cube minus 6 times 4 square plus 5 that is equal minus 27.
01:26
Here f minus 1 that is equal minus 1 cube minus 6 times minus 1 square plus 5.
01:34
So, that is equal is equal minus 2 and f of 2 that is equal 2 cube minus 6 times 2 square plus 5...