The curve passes through the point . What is at that point?
Answer and explanation
Correct answer: A. -21/32
- Step 1: Differentiate implicitly with respect to : . At : .
- Step 2: Differentiate using the quotient rule: .
- Step 3: Evaluate expressions at where and : , and .
- Step 4: Compute numerator and denominator: numerator . Denominator . Thus .
Answer
-21/32.
Why not the others: is merely the first derivative, and erroneously treats as constant when differentiating the numerator.
Practise more Differentiation.
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