Concept explainers
Proof of the
- a. Use the definition of F′ to show that
- b. Now add −f(x)g(x) + f(x)g(x) (which equals 0) to the numerator in the preceding limit to obtain
Use this limit to obtain the Quotient Rule.
- c. Explain why F′ = (f/g)′ exists, whenever g(x) ≠ 0.
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Calculus: Early Transcendentals (2nd Edition)
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