Determine the derivative of 𝑦𝑥=𝑥2 at the point xQuestion 8Answera.2𝑥b.𝑥2c.2d.2𝑥2
Question
Determine the derivative of 𝑦𝑥=𝑥² at the point x
Question 8
Answer
a. 2𝑥
b. 𝑥²
c. 2
d. 2𝑥²
Solution
Step 1: Break Down the Problem
We need to determine the derivative of the function at a specific point on the x-axis.
Step 2: Relevant Concepts
The derivative of a function is given by the formula: For the function , we will differentiate using the power rule:
Step 3: Analysis and Detail
- Differentiate :
- Using the power rule:
Step 4: Verify and Summarize
The derivative when evaluated at any point is .
Final Answer
The derivative of is .
Thus, the answer is (a) .
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