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For the function f(x)=e^x,a=0,b=1, the v...

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

A

logx

B

log(e-1)

C

0

D

1

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. For the function f(x)=e^cosx, Rolle's theorem is

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  2. In which of the following functions, Rolle's theorem is applicable?

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  3. For the function f(x)=e^x,a=0,b=1, the value of c in mean value theore...

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  4. The value of c in mean value theorem for the function f(x)=x^2 in [2,4...

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  5. In the Mean value theorem f(b)-f(a)=(b-a)f'(c), if a=4, b=9 and f(...

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  6. For the function f(x)=(x-1)(x-2) defined on [0,1/2], the value of 'c' ...

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  7. The constant 'c' of Lagrange's mean value theorem of the function f(x)...

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  8. If f(x)=cosx,0lexle(pi)/2 then the real number c of the mean value the...

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  9. Let f(x) be continous on [0,6] and differentable on (0,6) Let f(0)=12 ...

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  10. In [0, 1] Lagrange's mean value theorem is not applicable to

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  11. The abscisssa of the points of the curve y=x^3 in the interval [-2,2],...

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  12. If the function f(x) = x^(3) – 6ax^(2) + 5x satisfies the conditions o...

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  13. For all real values of x, increasing function f(x) is

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  14. The function f(x)=ax+b is strictly increasing for all real x is

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  15. For Which value of x, the function f(x)=x^2-2x is decresing?

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  16. The function f(x)= tan x - x

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  17. f(x)={(0,x≤0),(x-3,xgt0):} The function f(x) is

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  18. The function f(x)=cos x -2 px is monotonically decreasing for

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  19. Function f(x)=2x^3-9x^2+12 x+29 is monotonically decreasing when (a) x...

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  20. The function f(x)=x^2+2x+5 is strictly increasing in the interval

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