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e) What are the possible inflection values of H(x)? SHOW all work and key steps For the function H(x) find the intervals when the function is concave up and concave down. Show enough work to support your answers. LEAVE your inflection values exact do not round. H(x) is concave up over the interval(s)_ H(x) is concave down over the interval(s) H(x) has inflection POINTS at the x value(s) f) Sketch a simple graph of H(X) with both label the critical and inflection points clearly labeled

e) What are the possible inflection values of H(x)? SHOW all work and key steps For the function H(x) find the intervals when the function is concave up and concave down. Show enough work to support your answers. LEAVE your inflection values exact do not round. H(x) is concave up over the interval(s)_ H(x) is concave down over the interval(s) H(x) has inflection POINTS at the x value(s) f) Sketch a simple graph of H(X) with both label the critical and inflection points clearly labeled

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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Need help with Part E and Part F

2) a) Find the Derivative: h'(x) = 5 (0.12 x ²) + 3 (3.2 x ²) h'(x) = -0.6² +9.6x² For the function H(x) = -0.12x5 +3.2x³ b) For the function H(x) find the critical values, intervals of increase and decrease Show enough work to support your answers. (I want to see a number line or a graph) A x=0 H'(x) = -0.6x² +9.6x³ = 0 H'(x) = X³ (-0.6x + 9.6)=0 X³ (-0.6x +9.4) = 0 (-0.6+9.6)=0 = 1.6 X = -9.6 -0.6 3 relative maximum(s) y = relative minimum(s) y = . H(x) has critical values at x =__0₁1. H(x) is increasing over the interval(s) (-∞, 0) (1.6,00) H(x) is Decreasing over the interval(s) (1.6) H"(x) = a (-0.6x² + 9.6x²³) dx = -24x²³² +28.8x² 1.6 Hrno47 bags bort H" (0) = 0, H" (1.6)=63,897478 NO relative maximum c) Find the relative maximums or minimums of y = H(x) and at what x-value they are located. Velative min → X=1.6) H (1.6) = 11.84 found at x = found at x = - 11.84 d) Find the Second Derivative: H" (x) = = (-0.6x² + 9.6 x ²) = -2.4 x ²³ + 28.8 x ² 4 2 dx
Transcribed Image Text:2) a) Find the Derivative: h'(x) = 5 (0.12 x ²) + 3 (3.2 x ²) h'(x) = -0.6² +9.6x² For the function H(x) = -0.12x5 +3.2x³ b) For the function H(x) find the critical values, intervals of increase and decrease Show enough work to support your answers. (I want to see a number line or a graph) A x=0 H'(x) = -0.6x² +9.6x³ = 0 H'(x) = X³ (-0.6x + 9.6)=0 X³ (-0.6x +9.4) = 0 (-0.6+9.6)=0 = 1.6 X = -9.6 -0.6 3 relative maximum(s) y = relative minimum(s) y = . H(x) has critical values at x =__0₁1. H(x) is increasing over the interval(s) (-∞, 0) (1.6,00) H(x) is Decreasing over the interval(s) (1.6) H"(x) = a (-0.6x² + 9.6x²³) dx = -24x²³² +28.8x² 1.6 Hrno47 bags bort H" (0) = 0, H" (1.6)=63,897478 NO relative maximum c) Find the relative maximums or minimums of y = H(x) and at what x-value they are located. Velative min → X=1.6) H (1.6) = 11.84 found at x = found at x = - 11.84 d) Find the Second Derivative: H" (x) = = (-0.6x² + 9.6 x ²) = -2.4 x ²³ + 28.8 x ² 4 2 dx
e) What are the possible inflection values of H(x)? SHOW all work and key steps For the function H(x) find the intervals when the function is concave up and concave down. Show enough work to support your answers. LEAVE your inflection values exact do not round. H(x) is concave up over the interval(s) H(x) is concave down over the interval(s) H(x) has inflection POINTS at the x value(s) f) Sketch a simple graph of H(X) with both label the critical and inflection points clearly labeled
Transcribed Image Text:e) What are the possible inflection values of H(x)? SHOW all work and key steps For the function H(x) find the intervals when the function is concave up and concave down. Show enough work to support your answers. LEAVE your inflection values exact do not round. H(x) is concave up over the interval(s) H(x) is concave down over the interval(s) H(x) has inflection POINTS at the x value(s) f) Sketch a simple graph of H(X) with both label the critical and inflection points clearly labeled
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