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School
Department
Mathematics
Course
MATH 140
Professor
All Professors
Semester
Fall

Description
Notes – MVT Aleah Pisarz 10/22 – 10/24 1 Mean Value Theorem: Rolle’s Theorem has 3 stipulations: 1. f  is continuous from  [a,b] 2. f  is differentiable from  (a,b) 3. f (a)=f (b) If  f  satisfies the above three properties, then there is a number  c  in  (a,b)  such  that  f c =0forc∈(a,b) Case 1: Case 2: Case 3: The Mean Value Theorem (MVT) has two stipulations: 1. f  is continuous on  [a,b] 2. f  is differentiable on  (a,b) If  f  satisfies the above three properties, then there is a number  c  in  (a,b)  such  that  ' f (b)−f (a) f c = b−a which is the slope of the line between endpoints. Notes –
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