JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

1 Easy

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Application +4 | -1

In the mean value theorem

f\left( b \right) - f\left( a \right) = \left( {b - a} \right)f'\left( c \right),\,if\,a = 4,\;b = 9

and

f\left( x \right) = \sqrt x

, then the value of

c

View answer and explanation

Correct option: D

6.25

Option D (6.25) is correct because it is the value of 'c' that satisfies the Mean Value Theorem for the given function and interval.

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