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verify rolle’s theorm f(x) = x 2 – 5x 2 +4x in the interval [0,4]

verify rolle’s theorm
f(x) = x2 – 5x2+4x in the interval [0,4]

Grade:12th pass

1 Answers

Arun
25763 Points
3 years ago
Dear student
 
It should be
f(x) = x³ -5x² +4x 
Now
f(4) = 0
f(0) = 0
Now
f'(x) = 3x² - 10x +4
f'(c) = 0
i.e.
3c² - 10c +4 = 0
c = [10 ± sqrt(52)] /6
Hence rolle's theorem is satisfied.

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