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Find the difference quotient of f(x) = √(4 - x²).

a) -x/√(4 - x²)
b) -x/√(4 - x²) + √(4 - x²)
c) x/√(4 - x²)
d) x/√(4 - x²) - √(4 - x²)

User Maurobio
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1 Answer

2 votes

Final answer:

The question lacks adequate information to find the difference quotient of the function f(x) = √(4 - x²). The references provided do not offer the relevant steps for this calculation.

Step-by-step explanation:

The student asked to find the difference quotient of f(x) = √(4 - x²). The difference quotient, which is a way to compute the rate of change of a function, is given by the expression (f(x + h) - f(x)) / h as h approaches zero.

In this case, however, the options provided suggest that the student is looking to simplify the expression after substituting f(x + h) and f(x) without taking the limit as h approaches zero.

Unfortunately, the information given is not directly relevant to solving for the difference quotient of the provided function, and as such, it does not enable providing a step-by-step solution. Therefore, it is suggested that the student might need to provide the complete problem or seek additional guidance for calculating the difference quotient.

User David Van Dugteren
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8.2k points