If is differentiable and satisfies , what is given ?
Answer and explanation
Correct answer: A. obtained via implicit differentiation
- Step 1: Differentiate implicitly with respect to : . Substitute and : . **Answer: obtained via implicit differentiation. Why not the others:** " linear slope" neglects the derivative of , equating directly to the right side ; " vanishing derivative" confuses the function value with its rate of change; " halved value" inverts the linear factor, dividing by instead of solving .
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