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# Differentiate the function.$G(y) = \ln \frac {(2y + 1)^5}{\sqrt {y^2 + 1}}$

## $$\frac{10}{2 y+1}-\frac{y}{y^{2}+1}\left[\text { or } \frac{8 y^{2}-y+10}{(2 y+1)\left(y^{2}+1\right)}\right]$$

Derivatives

Differentiation

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### Video Transcript

in this problem, whereas to find narrative function, G apply now using properties off electric punches. Since we are dividing two functions, we can rent this one s actual law off to my pulse. Form that effect minus venture law. Off. Skirt off. What spurred Waas four. No, this is this burger. Could be richness. We can take this power plant and then write it here. So five times natural law to one plus one minus, um skirt boot its power to the one Health will be going. This one s one. Help Nature Law off. Why scrape before? No. Let's tag narrative The city apart forms a g prime. A boy is an equal Two passages constant five times. One over to wipe us. One times they were dropped in her function, which is to minus or hell oh, warm over one script plus one, most like by damage off in function. Which is to why, so we can then write the answer. S 10 derived by two y plus one minus twos will cancel out one divided by y scrape