If \( f(x)=x^{100}+x^{99}+\ldots+x+1 \), then \( f^{\prime}(1) \) is equal to (A) 5050 (B) 5049 ...

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If \( f(x)=x^{100}+x^{99}+\ldots+x+1 \), then \( f^{\prime}(1) \) is equal to
(A) 5050
(B) 5049
(C) 5051
(D) 50051
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