Question
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  1. กำหนดให้ แล้ว เมื่อ ตรงกับข้อใด

Ask by Mccoy Guzman. in Thailand
Jan 24,2025

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Tutor-Verified Answer

Answer

4

Solution

Alright, I need to find the second derivative of the function at . Let’s break this down step by step.
First, I’ll find the first derivative . To do that, I’ll differentiate each term with respect to :
  1. The derivative of is .
  2. The derivative of is .
  3. The derivative of is .
So, the first derivative is:
Next, I’ll find the second derivative by differentiating :
  1. The derivative of is .
  2. The derivative of is .
  3. The derivative of is .
So, the second derivative is:
Now, I need to evaluate at :
To combine these terms, I’ll convert them to have a common denominator of 4:
Therefore, the value of at is .

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The Deep Dive

ในการหาค่าของ ที่จุด เราต้องคำนวณอนุพันธ์อันดับแรกและอันดับสองของฟังก์ชัน ก่อน
เริ่มจากอนุพันธ์อันดับแรก:
ต่อไปให้หาค่าของอนุพันธ์อันดับสอง:
จากนั้นแทนค่า :
ดังนั้น ค่าของ เมื่อ ตรงกับข้อ 4:

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