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.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Calculus: Early Transcendentals (3rd Edition)
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus & Its Applications (14th Edition)
Precalculus (10th Edition)
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning