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Suppose that  f(x) = 10x − 7 ln(x),      x > 0.  (If an answer does not exist, enter DNE.) (a) Find all partition numbers of  f '(x).  (Enter your answers as a comma-separated list.) x =        (b) Find all critical values of  f(x).  (Enter your answers as a comma-separated list.) x =        (c) Find the interval(s) where  f(x)  is increasing. (Enter your answer using interval notation.)       (d) Find the interval(s) where  f(x)  is decreasing. (Enter your answer using interval notation.)       (e) Find the x-value(s) of all local maxima of  f(x).  (Enter your answers as a comma-separated list.) x =        (f) Find the x-value(s) of all local minima of  f(x).  (Enter your answers as a comma-separated list.) x =        (g) Find all partition numbers of  f ''(x).  (Enter your answers as a comma-separated list.) x =        (h) Find the interval(s) where  f(x)  is concave up. (Enter your answer using interval notation.)       (i) Find the interval(s) where  f(x)  is concave down. (Enter your answer using interval notation.)       (j) Find the x-value(s) of the inflection points of  f(x).  (Enter your answers as a comma-separated list.) x =

Suppose that  f(x) = 10x − 7 ln(x),      x > 0.  (If an answer does not exist, enter DNE.) (a) Find all partition numbers of  f '(x).  (Enter your answers as a comma-separated list.) x =        (b) Find all critical values of  f(x).  (Enter your answers as a comma-separated list.) x =        (c) Find the interval(s) where  f(x)  is increasing. (Enter your answer using interval notation.)       (d) Find the interval(s) where  f(x)  is decreasing. (Enter your answer using interval notation.)       (e) Find the x-value(s) of all local maxima of  f(x).  (Enter your answers as a comma-separated list.) x =        (f) Find the x-value(s) of all local minima of  f(x).  (Enter your answers as a comma-separated list.) x =        (g) Find all partition numbers of  f ''(x).  (Enter your answers as a comma-separated list.) x =        (h) Find the interval(s) where  f(x)  is concave up. (Enter your answer using interval notation.)       (i) Find the interval(s) where  f(x)  is concave down. (Enter your answer using interval notation.)       (j) Find the x-value(s) of the inflection points of  f(x).  (Enter your answers as a comma-separated list.) x =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
Suppose that 
f(x) = 10x − 7 ln(x),      x > 0.
 (If an answer does not exist, enter DNE.)

(a)

Find all partition numbers of 
f '(x).
 (Enter your answers as a comma-separated list.)
x = 
 
 
 

(b)

Find all critical values of 
f(x).
 (Enter your answers as a comma-separated list.)
x = 
 
 
 

(c)

Find the interval(s) where 
f(x)
 is increasing. (Enter your answer using interval notation.)
 
 
 

(d)

Find the interval(s) where 
f(x)
 is decreasing. (Enter your answer using interval notation.)
 
 
 

(e)

Find the x-value(s) of all local maxima of 
f(x).
 (Enter your answers as a comma-separated list.)
x = 
 
 
 

(f)

Find the x-value(s) of all local minima of 
f(x).
 (Enter your answers as a comma-separated list.)
x = 
 
 
 

(g)

Find all partition numbers of 
f ''(x).
 (Enter your answers as a comma-separated list.)
x = 
 
 
 

(h)

Find the interval(s) where 
f(x)
 is concave up. (Enter your answer using interval notation.)
 
 
 

(i)

Find the interval(s) where 
f(x)
 is concave down. (Enter your answer using interval notation.)
 
 
 

(j)

Find the x-value(s) of the inflection points of 
f(x).
 (Enter your answers as a comma-separated list.)
x = 
 
 
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