given-f-x-log-10-x-and-log-10-102-2-0086-which-is-closest-to-f-100-A-0-0043-B-0-0086-C-0-01-E-1-0043-

Question Number 91635 by john santu last updated on 02/May/20

g i v e n f (x) = \log_{10} (x) a n d \log_{10} (102) \approx 2.0086

, w h i c h i s c l o s e s t t o f^{'} (100) ?

A . 0.0043 B . 0.0086

C . 0.01 E . 1.0043

Commented by mr W last updated on 02/May/20

f^{'} (x) = \frac{d y}{d x} \approx \frac{Δ y}{Δ x}

f^{'} (100) \approx \frac{f (102) - f (100)}{102 - 100} \approx \frac{2.0086 - 2}{2} = 0.0043

\Rightarrow a n s w e r A

Commented by john santu last updated on 02/May/20

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