JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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Application +4 | -1

If the Mean value theorem is

f\left( b \right) - f\left( a \right) = \left( {b - a} \right)f'\left( c \right)

Then, for the function

{x^2} - 2x + 3\,in\,\left[ {1,\frac{3}{2}} \right]

, the value of

c

View answer and explanation

Correct option: B

\frac{5}{4}

Option B (

\frac{5}{4}

) 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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