The dose-response for a specific drug is $\displaystyle {f{{\left({x}\right)}}}=\frac{{{100}{x}^{{2}}}}{{{x}^{{2}}+{0.14}}}$, where $\displaystyle {f{{\left({x}\right)}}}$ is the percent of relief obtained from a dose of $\displaystyle {x}$ grams of a drug, where $\displaystyle {0}\le{x}\le{1.5}$.

For doses of 0.1 grams and 0.9 grams, calculate $\displaystyle {f{{\left({x}\right)}}}$ and $\displaystyle {f}'{\left({x}\right)}$

$\displaystyle {f{{\left({0.1}\right)}}}$ = Preview Question 6 Part 1 of 6  
$\displaystyle {f}'{\left({0.1}\right)}$ = Preview Question 6 Part 2 of 6  

$\displaystyle {f{{\left({0.9}\right)}}}$ = Preview Question 6 Part 3 of 6  
$\displaystyle {f}'{\left({0.9}\right)}$ = Preview Question 6 Part 4 of 6  

At which dose would the patient have more relief? Select an answer 0.1 grams 0.9 grams

At which dose would an increase in dose by 0.1 grams have the greatest benefit? Select an answer 0.9 grams 0.1 grams