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The function f whose graph passes throu...

The function f whose graph passes through `(0,(7)/(3))` and whose derivatives of `f(x) = e^(x)` dfffer by 2 the difference of these anti - derivatives at x = 100 is :

A

`f(x) = (1)/(2) [(1-x^(2))^(3//2)+7]`

B

`f(x) = (3)/(2) [sin^(-1) x + 6]`

C

`f(x) = (-1)/(3) [ (1-x^(2))^(3//2)-8]`

D

`f(x) = (-2)/(3) [(1-x^(2))^(3//2) - 8]`

Text Solution

Verified by Experts

The correct Answer is:
C
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