Question

Given the function f(x) = 4 + (x - 1)^(1/2) satisfies the hypothesis of the Mean Value Theorem on the interval [1,5], find a number c in the interval (1,5) which satisfies the theorem.

Name: given the function fx 4 x 112 satisfies the hypothesis of the mean value theorem on the interval 15 find a number c in the interval 15 which satisfies the theorem 48149
Uploaded: 2021-08-15T12:06:27-08:00
Duration: 2 min 29 s
Channel: Gregory Higby
Description: given the function fx 4 x 112 satisfies the hypothesis of the mean value theorem on the interval 15 find a number c in the interval 15 which satisfies the theorem 48149

          Given the function f(x) = 4 + (x - 1)^(1/2) satisfies the hypothesis of the Mean Value Theorem on the interval [1,5], find a number c in the interval (1,5) which satisfies the theorem.

Added by Ana H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Gregory Higby

08/15/2021

Step 1

The Mean Value Theorem states that if a function is continuous on a closed interval [a,b] and differentiable on the open interval (a,b), then there exists a number c in (a,b) such that f'(c) = (f(b) - f(a))/(b - a). Show more…

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Given the function f(x) = 4 + (x - 1)^(1/2) satisfies the hypothesis of the Mean Value Theorem on the interval [1,5], find a number c in the interval (1,5) which satisfies the theorem.