Theorem 1. If f : R → R is a C² function, then f is conver if and only if f"(x) > 0 for every x E R.
Theorem 1. If f : R → R is a C² function, then f is conver if and only if f"(x) > 0 for every x E R.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
Related questions
Question
Prove the results shown in graph.
Expert Solution
Step 1: Writing the given information
Let
We need to prove that
Let
Applying the mean value theorem to
and .
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