Consider the equation below.f(x) = 3x4 + 60x3 − 30x + 4 (a) Give the intervals where f(x) is concave down. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)(b) Give the interval) where f(x) is concave up. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)(c) Find the x-coordinates of the inflection points for f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)x =

Question
Asked Mar 5, 2020
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Consider the equation below.

f(x) = 3x4 + 60x3 − 30x + 4
 
(a) Give the intervals where f(x) is concave down. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)

(b) Give the interval) where f(x) is concave up. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)

(c) Find the x-coordinates of the inflection points for f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

x = 
 
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Expert Answer

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Step 1

Calculus homework question answer, step 1, image 1

Step 2

Equate the second derivative to 0 and obtain the inflection point.

Calculus homework question answer, step 2, image 1

Step 3

Calculus homework question answer, step 3, image 1

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