a) The Mean Value Theorem for differentiation states that if f(x) is continuous on a closed interval a,b and differentiable on the open interval (a,b), then there is a number c in (a,b) such that f(b)– f(a) f'(c) = b-a If f(x) = Vx + 6, find the value of c in the interval (-2,10) that satisfies the above theorem.

a) The Mean Value Theorem for differentiation states that if f(x) is continuous on a closed interval a,b and differentiable on the open interval (a,b), then there is a number c in (a,b) such that f(b)– f(a) f'(c) = b-a If f(x) = Vx + 6, find the value of c in the interval (-2,10) that satisfies the above theorem.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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