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How do you do implicit differentiation with the quotient rule?

Answer 1

There's no real difference. Differentiate implicitly and solve for #(dy)/(dx)# Or avoid the quotient rule by clearing fractions algebraically.

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Answer 2

Charles Arocha

To do implicit differentiation with the quotient rule, follow these steps:

Differentiate the numerator and denominator separately with respect to the variable.
Apply the quotient rule: ((f'g - fg') / g^2).
Substitute the derivatives of the numerator and denominator into the quotient rule formula.
Simplify the expression if possible.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.