priscillianaw1

2022-09-06

I have used the quotient rule and chain rule to solve for ${0.6}^{x}$ but its still wrong.

$$P(x)=\frac{1864}{1+49\times (0.6{)}^{x}}$$

$$P(x)=\frac{1864}{1+49\times (0.6{)}^{x}}$$

falwsay

Beginner2022-09-07Added 8 answers

we have after simplifications

$${P}^{\prime}(x)=-91336\phantom{\rule{thinmathspace}{0ex}}\frac{{\left(3/5\right)}^{x}\mathrm{ln}\left(3/5\right)}{{(1+49\phantom{\rule{thinmathspace}{0ex}}{\left(3/5\right)}^{x})}^{2}}$$

$${P}^{\prime}(x)=-91336\phantom{\rule{thinmathspace}{0ex}}\frac{{\left(3/5\right)}^{x}\mathrm{ln}\left(3/5\right)}{{(1+49\phantom{\rule{thinmathspace}{0ex}}{\left(3/5\right)}^{x})}^{2}}$$

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

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