ручка-р
карандаш-к
<span>3(7-р) +4р = 25 </span>
<span>21 - 3р +4р = 25 </span>
<span>р = 4 </span>
<span>к=3 </span>
91/х=7 х*6=72 х/4=16 25/х=25
х=91/7 х=72/6 х=16/4 х=25/25
х=13 х=12 х=4 х=1
А) Производная частного
![f'(x)=( \frac{2x-3}{x+1} )'= \frac{(2x-3)'(x+1)-(2x-3)(x+1)'}{(x+1)^2} = \\ \\ = \frac{2*(x+1)-(2x-3)*1}{(x+1)^2} =\frac{2x+2-2x+3}{(x+1)^2} = \frac{5}{(x+1)^2}](https://tex.z-dn.net/?f=f%27%28x%29%3D%28+%5Cfrac%7B2x-3%7D%7Bx%2B1%7D+%29%27%3D+%5Cfrac%7B%282x-3%29%27%28x%2B1%29-%282x-3%29%28x%2B1%29%27%7D%7B%28x%2B1%29%5E2%7D+%3D+%5C%5C++%5C%5C+%3D+%5Cfrac%7B2%2A%28x%2B1%29-%282x-3%29%2A1%7D%7B%28x%2B1%29%5E2%7D+%3D%5Cfrac%7B2x%2B2-2x%2B3%7D%7B%28x%2B1%29%5E2%7D+%3D+%5Cfrac%7B5%7D%7B%28x%2B1%29%5E2%7D+)
б) Производная степенной функции
![f'(x)=(7 \sqrt[7]{x} )'=(7* x^{ \frac{3}{7}})' =7*\frac{3}{7}*x^{- \frac{4}{7} }= \frac{3}{x^{4/7 }} = \frac{3}{ \sqrt[7]{x^4} }](https://tex.z-dn.net/?f=f%27%28x%29%3D%287+%5Csqrt%5B7%5D%7Bx%7D+%29%27%3D%287%2A+x%5E%7B+%5Cfrac%7B3%7D%7B7%7D%7D%29%27+%3D7%2A%5Cfrac%7B3%7D%7B7%7D%2Ax%5E%7B-+%5Cfrac%7B4%7D%7B7%7D+%7D%3D++%5Cfrac%7B3%7D%7Bx%5E%7B4%2F7+%7D%7D+%3D+%5Cfrac%7B3%7D%7B+%5Csqrt%5B7%5D%7Bx%5E4%7D+%7D+)
в) Производная логарифмической функции
![f'(x)=(log_5 x)'= \frac{1}{x*ln5}](https://tex.z-dn.net/?f=f%27%28x%29%3D%28log_5+x%29%27%3D+%5Cfrac%7B1%7D%7Bx%2Aln5%7D+)
г) Производная сложной функции
![f'(x)=( \sqrt{4x-2} )'=((4x-2)^{ \frac{1}{2} })'= \frac{1}{2} (4x-2)^{- \frac{1}{2} }*(4x-2)'= \\ \\ = \frac{1}{2} (4x-2)^{- \frac{1}{2} }*4=2* \frac{1}{(4x-2)^{ \frac{1}{2} }} = \frac{2}{ \sqrt{4x-2} }](https://tex.z-dn.net/?f=f%27%28x%29%3D%28+%5Csqrt%7B4x-2%7D+%29%27%3D%28%284x-2%29%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D%29%27%3D+%5Cfrac%7B1%7D%7B2%7D+%284x-2%29%5E%7B-+%5Cfrac%7B1%7D%7B2%7D+%7D%2A%284x-2%29%27%3D+%5C%5C++%5C%5C+%3D+%5Cfrac%7B1%7D%7B2%7D+%284x-2%29%5E%7B-+%5Cfrac%7B1%7D%7B2%7D+%7D%2A4%3D2%2A+%5Cfrac%7B1%7D%7B%284x-2%29%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D%7D+%3D+%5Cfrac%7B2%7D%7B+%5Csqrt%7B4x-2%7D+%7D+)
Ответ:3и 17 -нет
4и 14-да
10и 25- да
17и 34-да
5и 55-да
3и 27-да
9 и 11 - нет. надеюсь правильно))))))
Пошаговое объяснение: