Question

3. Determine the locations of all local extrema for each function below (i.e., the $x$-value). Clearly identify any theorems, rules, tests, etc. that you use and where you use them in your solutions. (a) $f(x) = \ln(1 + e^{x^3 - 3x})$ (b) $g(x) = \frac{1}{3}x^4 + x^3 + 2$

          3. Determine the locations of all local extrema for each function below (i.e., the $x$-value). Clearly identify any theorems, rules, tests, etc. that you use and where you use them in your solutions.
(a) $f(x) = \ln(1 + e^{x^3 - 3x})$
(b) $g(x) = \frac{1}{3}x^4 + x^3 + 2$

3. Determine the locations of all local extrema for each function below (i.e., the x-value). Clearly identify any theorems, rules, tests, etc. that you use and where you use them in your solutions.
(a) f(x) = ln(1 + e^x^3 - 3x)
(b) g(x) = (1)/(3)x^4 + x^3 + 2

Added by Erin O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Raj Bala

02/18/2022

Step 1

Step 1: For function f(x)=ln(1+e^(x^(3)-3x)), we will first find the critical points by taking the derivative and setting it equal to zero. Show more…

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Determine the locations of all local extrema for each function below (i.e., the x-value). Clearly identify any theorems, rules, tests, etc. that you use and where you use them in your solutions. (a) f(x)=ln(1+e^(x^(3)-3x)) (b) g(x)=(1)/(3)x^(4)+x^(3)+2 3. Determine the locations of all local extrema for each function below (i.e., the x-value). Clearly identify any theorems, rules, tests, etc. that you use and where you use them in your solutions. (a) f() = 1n (1+ ex3-3r) (b)g(x)=3x4+x3+2