Question

Consider the function $f(x) = 4x^4 - 5x^3 + 4$. We know that $f(x)$ is concave down when $0 < x < 0.5$

Name: Consider the function f(x) = 4x^4 - 5x^3 + 4. We know that f(x) is concave down when 0 < x < 0.5
Uploaded: 2022-03-16T11:50:27-08:00
Duration: 2 min 11 s
Channel: Haricharan Gupta
Description: Consider the function f(x) = 4x^4 - 5x^3 + 4. We know that f(x) is concave down when 0 < x < 0.5

          Consider the function $f(x) = 4x^4 - 5x^3 + 4$. We know that $f(x)$ is concave down when $0 < x < 0.5$

Added by Sheri S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Haricharan Gupta

03/16/2022

Step 1

The second derivative of f(x) is given by: f''(x) = 4(4)(4)x^(2) - 3(5)(x) = 64x^(2) - 15x Step 2: Determine when the second derivative is negative to identify where the function is concave down. To find when the function is concave down, we need to find when Show more…

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Consider the function f(x)=4x^(4)-5x^(3)+4. We know that f(x) is concave down when Consider the function f(x) = 4x4 -- 5x3 + 4. We know that f(x) is concave down when >X> 0.5