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In Matematika / Sekolah Menengah Atas | 2025-07-12

carilah turunan dari y=2/x^2+1 +3/x​

Asked by stevinkm

Answer (5)

the salesperson earns a fixed cost of $ 30 plus 2/9th of his sales
we have to find how many sales he gets to earn $ 100 for one day
so lets say that the number of sales for the day - x sales
and he earns 2/9th of his sales
therefore amount he earns for x sales is - 9 2 ​ ∗ x = 9 2 x ​
this value plus his fixed earnings of $ 30 per day
so the amount he earns is 2x/9 + 30
this equals $ 100
so we can write the following equation
9 2 x ​ + 30 = 100
9 2 x ​ = 100 − 30
9 2 x ​ = 70
2x = 70 * 9
2x = 630
x = 315
so the amount of sales he earns for that day is 315 sales

Answered by blahblahmali | 2024-06-11

x − am o u n t o f s a l es 30 + 9 2 ​ ∗ x = 100 ∣ S u b t r a c t 30 9 2 ​ ∗ x = 70 ∣ ∗ 9 2 x = 630 ∣ : 2 x = 315 Y o u n ee d 315 s a l es .

Answered by luana | 2024-06-24

To earn $100, you need to make $315 in sales. This is calculated by considering your fixed earnings of $30 and the additional earnings from your sales at 2/9 of the total sales amount. The equation resolves to find that $315 in sales is required to reach your earning goal.
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Answered by blahblahmali | 2024-10-01

1. Break down the problem:The function can be split into two separate terms: y = 2/(x^2 + 1) and y = 3/x. We'll differentiate each term separately and then add the results.2. Differentiate 2/(x^2 + 1):Use the quotient rule (d/dx)(u/v) = (u'v - uv')/v^2.u = 2, u' = 0v = x^2 + 1, v' = 2xApplying the rule: (0 * (x^2 + 1) - 2 * 2x) / (x^2 + 1)^2 = -4x / (x^2 + 1)^23. Differentiate 3/x:Use the power rule (d/dx)(x^n) = nx^(n-1).Rewrite 3/x as 3x^(-1).Applying the power rule: -3x^(-2) = -3/x^24. Combine the results:Add the derivatives of both terms: -4x/(x^2 + 1)^2 - 3/x^2.

Answered by hotelpoornaveg | 2025-07-12

Jawaban:agak burem sorry, semoga membantu :D

Answered by MzPr4m | 2025-07-12