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Question

For the function f(x)=ex,a=0,b=1, the value of c in mean value theorem will be

A
0
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B
log(e1)
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C
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D
1
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Solution

The correct option is C log(e1)
Given, f(x)=ex,a0,b=1
Here, f(b)f(a)ba=f(c)
ebeaba=f(c)
e110=f(c)
c=log(e1)

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