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y=f(x)=x' - 4x +10 find the interval that f(x) graph is concave down. O A) (2, infinite) O B) (0, 3) OC) (2, 3) O D) (0, 2)

y=f(x)=x' - 4x +10 find the interval that f(x) graph is concave down. O A) (2, infinite) O B) (0, 3) OC) (2, 3) O D) (0, 2)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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y=f(x)=x' - 4xr³ +10 25 - find the interval that f(x) graph is concave down. O A) (2, infinite) OB) (0, 3) O C) (2, 3) O D) (0, 2) O E) (-infinite, 2)
Transcribed Image Text:y=f(x)=x' - 4xr³ +10 25 - find the interval that f(x) graph is concave down. O A) (2, infinite) OB) (0, 3) O C) (2, 3) O D) (0, 2) O E) (-infinite, 2)
Expert Solution
Step 1

Given that the function y=f(x)=x4-4x3+10

Find the interval such that graph of the given function is concave down.

A function fx is said to be concave up when f''(x)>0 and concave down in the region where f"x<0.

The formula used are the following.

ddxxn=nxn-1, n∈ℝddx(x)=1ddx(a)=0

where a is a constant.

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