Mathematical-Analysis-f-R-R-is-diffrentiable-function-f-and-f-has-no-common-zero-on-R-prove-that-the-following-set-is-finite-X

Question Number 211486 by mnjuly1970 last updated on 10/Sep/24

M a t h e m a t i c a l A n a l y s i s \dots

f : R \to R i s d i f f r e n t i a b l e f u n c t i o n,

f a n d f^{'}, h a s n o c o m m o n z e r o

o n R .

p r o v e t h a t t h e f o l l o w i n g s e t i s f i n i t e .

X = {x \in [0, 1] ∣ f (x) = 0}

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