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

$$givenf\left(x\right)={\log }_{10}\left(x\right)and{\log }_{10}\left(102\right)\approx 2.0086$$$$,whichisclosesttof{}^{\prime }\left(100\right)?$$$$A.0.0043B.0.0086$$$$C.0.01E.1.0043$$

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

$$f{}^{\prime }\left(x\right)=\frac{dy}{dx}\approx \frac{\mathrm{\Delta }y}{\mathrm{\Delta }x}$$$$f{}^{\prime }\left(100\right)\approx \frac{f\left(102\right)-f\left(100\right)}{102-100}\approx \frac{2.0086-2}{2}=0.0043$$$$\Rightarrow answerA$$

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

$$yes...$$

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