Concept explainers
The mean value theorem states that if F(x) is a differentiable function on the interval [a, b], then there exists some number c between a and b such that
Explain why the mean value theorem implies that if a car averages 60 miles per hour in some 10-minute interval, then the car’s instantaneous velocity is 60 miles per hour at least once in that interval.
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
EP CALCULUS FOR BUSINESS..-MYLAB ACCESS
- Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.arrow_forwardWhat is the purpose of the Intermediate Value Theorem?arrow_forwardWhat does it mean to say that f(4) is a local maximum valueof f ?arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning