Answer:
![p'(4) = -3](https://tex.z-dn.net/?f=p%27%284%29%20%3D%20-3)
![q'(8) = \frac{1}{4}\\](https://tex.z-dn.net/?f=q%27%288%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%5C%5C)
Step-by-step explanation:
For p'(4):
![p(x) = f(x)g(x) \\ p'(x) = \frac{d}{dx}(f(x)g(x)) \\ p'(x) = f'(x)g(x) +f(x)g'(x)](https://tex.z-dn.net/?f=p%28x%29%20%3D%20f%28x%29g%28x%29%20%5C%5C%20p%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%28f%28x%29g%28x%29%29%20%5C%5C%20p%27%28x%29%20%3D%20f%27%28x%29g%28x%29%20%2Bf%28x%29g%27%28x%29)
![p'(4) = f'(4)g(4) + f(4)g'(4) \\ p'(4) = (-1)(3) +(7)(0) \\ p'(4) = -3](https://tex.z-dn.net/?f=p%27%284%29%20%3D%20f%27%284%29g%284%29%20%2B%20f%284%29g%27%284%29%20%5C%5C%20p%27%284%29%20%3D%20%28-1%29%283%29%20%2B%287%29%280%29%20%5C%5C%20p%27%284%29%20%3D%20-3)
For q'(8):
![q(x) = \frac{f(x)}{g(x)} \\ q'(x)= \frac{d}{dx}(\frac{f(x)}{g(x)}) \\ q'(x) = \frac{f'(x)g(x) -f(x)g'(x)}{{g(x)}^2}](https://tex.z-dn.net/?f=q%28x%29%20%3D%20%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5C%5C%20q%27%28x%29%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%28%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%29%20%5C%5C%20q%27%28x%29%20%3D%20%5Cfrac%7Bf%27%28x%29g%28x%29%20-f%28x%29g%27%28x%29%7D%7B%7Bg%28x%29%7D%5E2%7D)
![q'(8) = \frac{f'(8)g(8) -f(8)g'(8)}{{g(8)}^2} \\ q'(8) = \frac{(2)(2) -(6)(\frac{1}{2})}{{2}^2} \\ q'(8) = \frac{4 -3}{4} \\ q'(8) = \frac{1}{4}](https://tex.z-dn.net/?f=q%27%288%29%20%3D%20%5Cfrac%7Bf%27%288%29g%288%29%20-f%288%29g%27%288%29%7D%7B%7Bg%288%29%7D%5E2%7D%20%5C%5C%20q%27%288%29%20%3D%20%5Cfrac%7B%282%29%282%29%20-%286%29%28%5Cfrac%7B1%7D%7B2%7D%29%7D%7B%7B2%7D%5E2%7D%20%5C%5C%20q%27%288%29%20%3D%20%5Cfrac%7B4%20-3%7D%7B4%7D%20%5C%5C%20q%27%288%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
Answer:
48,217 maybe idk
Step-by-step explanation:
Answer:
heyyyyy <3
Step-by-step explanation:
The answer is 8 because when you replace x by 8 it equals 24
Normally, two packs of batteries cost $1.89*2=$3.78. The discounted price of $3.40 divided by the standard price of $3.78 for two packs is approximately .9, or 90 percent. Therefore, we have an approximately ten percent discount with the sale.