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Let f(x)=x+ sin x . Suppose g denotes th...

Let `f(x)=x+ sin x` . Suppose g denotes the inverse function of f. The value of `g'(pi/4+1/sqrt2)` has the value equal to

A

(a)`2+sqrt2`

B

(b)`sqrt2-2`

C

(c)`2-sqrt2`

D

(d)`2sqrt2`

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