Question

Consider the equation below. f(x) = e7x + e−x (a) Find the intervals on which f is increasing. (Enter your answer using interval notation.) (−∞, ln(17)8) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (ln(17)8, ∞) (b) Find the local minimum value of f. e7·(ln((17))8)+3−(ln(12)8)

Name: consider the equation below fx e7x ex a find the intervals on which f is increasing enter your answer using interval notation ln178 find the interval on which f is decreasing enter your answ 99752
Uploaded: 2022-03-20T07:26:17-08:00
Duration: 2 min 57 s
Channel: Ahmet Yavas
Description: consider the equation below fx e7x ex a find the intervals on which f is increasing enter your answer using interval notation ln178 find the interval on which f is decreasing enter your answ 99752

          Consider the equation below.
f(x) = e7x + e−x
(a) Find the intervals on which f is increasing. (Enter your answer using interval notation.)
(−∞, ln(17)8)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(ln(17)8, ∞)
(b) Find the local minimum value of f.
e7·(ln((17))8)+3−(ln(12)8)

Added by Carmen B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ahmet Yavas

03/20/2022

Step 1

To solve the problem step by step, we will analyze the function \( f(x) = e^{7x} + e^{-x} \). Show more…

Show all steps

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Consider the equation below. f(x) = e7x + e−x (a) Find the intervals on which f is increasing. (Enter your answer using interval notation.) (−∞, ln(17)8) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (ln(17)8, ∞) (b) Find the local minimum value of f. e7·(ln((17))8)+3−(ln(12)8)