![\bf y=\cfrac{(-x+5)^5}{3x-4}\implies y=\cfrac{(5-x)^5}{3x-4} \\\\\\ \cfrac{dy}{dx}=\stackrel{quotient~rule}{\cfrac{5(5-x)^4(-1)(3x-4)~~-~~(5-x)^5(3)}{(3x-4)^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-5(5-x)^4(3x-4)-3(5-x)^5}{(3x-4)^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{\stackrel{common~factor}{-(5-x)^4}[5(3x-4)+3(5-x)]}{(3x-4)^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-(5-x)^4~~[15x-20+15-3x]}{(3x-4)^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-(5-x)^4~~[12x-5]}{(3x-4)^2}\implies \cfrac{dy}{dx}=\cfrac{(5-x)^4~~[5+12x]}{(3x-4)^2}](/tpl/images/0377/5884/8689f.png)
Solve this derivative using the quotient rule
...
Mathematics, 16.11.2019 17:31 abelxoconda
Solve this derivative using the quotient rule
Answers: 1
Another question on Mathematics
Mathematics, 21.06.2019 14:40
Write the sentence as an equation. 6 fewer than the quantity 140 times j equals 104
Answers: 2
Mathematics, 21.06.2019 21:30
The ratios of boys to girls on a soccer league is 2: 5. if there are 28 boys, how many girls are playing soccer? extra points! will mark as brainiest asap
Answers: 2
Mathematics, 21.06.2019 23:40
Select the correct answer what is the 10th term of the geometric sequence 3,6, 12, 24,48 a. 512 b. 3,072 c. 768 d. 1,536
Answers: 2
Mathematics, 22.06.2019 01:00
Which angle has the same measure as the dehedral angle formed by the orange face and the purple rectangle
Answers: 1
You know the right answer?
Questions
English, 16.07.2021 04:30
English, 16.07.2021 04:30
English, 16.07.2021 04:30
