# Y = \\sqrt{3x + 7} ) ise ( \\frac{d^2 y}{dx^2} =?

**URL:** <https://sorumatik.co/t/y-sqrt-3x-7-ise-frac-d-2-y-dx-2/84317>\
**Category:** Makine Mühendisliği\
**Tags:** ayt-matematik, matematik\
**Created:** [Ağustos 1, 2024, 6:04ös UTC](https://sorumatik.co/t/y-sqrt-3x-7-ise-frac-d-2-y-dx-2/84317 "2024-08-01T18:04:54Z")\
**Posts on this page:** 2\
**Page:** 1

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**Post date:** [Ağustos 1, 2024, 6:04ös UTC](https://sorumatik.co/t/y-sqrt-3x-7-ise-frac-d-2-y-dx-2/84317/1 "2024-08-01T18:04:54Z")

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**Post date:** [Ağustos 1, 2024, 6:05ös UTC](https://sorumatik.co/t/y-sqrt-3x-7-ise-frac-d-2-y-dx-2/84317/2 "2024-08-01T18:05:04Z")

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## **y = \sqrt{3x + 7} ise \frac{d^2 y}{dx^2} = ?**

**Yanıt:**  
İlk türevi ve ikinci türevi hesaplayarak sorunun cevabını bulmamız gerekir.

1. **Birinci Türev ( \frac{dy}{dx} ):**

2. **İkinci Türev ( \frac{d^2 y}{dx^2} ):**

Şıklara bakarak doğru cevabı seçelim.

- (I) - \frac{25}{4(5x+2)^{3/2}}
- (II) \frac{3}{2\sqrt{3x+7}}
- (III) - \frac{9}{4(3x+7)^{3/2}} 
- (IV) \frac{5}{2\sqrt{5x+2}}
- (V) - \frac{1}{4(3x+7)^{3/2}}

**Sonuç olarak doğru cevap:**

\boxed{III} - \frac{9}{4(3x + 7)^{3/2}}