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If the functions f(x) and g(x) are conti...

If the functions f(x) and g(x) are continuous in [a,b] and differentiable in (a,b), then `EE` at lease one 'c' such that `a lt c lt b `and `|{:(f(a),f(b)),(g(a), g(b)):}|` = ...... `|{:(f(a),f'(c)),(g(a), g'(c)):}|`

A

a-b

B

a+b

C

b-a

D

`f'(b)-f'(a)`

Text Solution

Verified by Experts

The correct Answer is:
C
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