Please answer only the first three square blanks The image showcases a problem set involving the function \( f(x) = 2x^3 - x^2 \) and the task is to find its derivatives: \( f'(x) \), \( f''(x) \), \( f'''(x) \), and \( f^{(4)}(x) \).### Graphs and Diagrams ExplanationThere are four graphs displayed on a common screen:1. **Graph of \( f(x) \)**: - This is a cubic function graph. It appears to have a traditional cubic curve shape, crossing the y-axis near the origin. - The graph has two turning points, reflecting the local maxima and minima.2. **Graph of \( f'(x) \)**: - The first derivative graph, typically representing the slope of \( f(x) \). - This graph helps identify the points where \( f(x) \) has local extrema (where \( f'(x) = 0 \)).3. **Graph of \( f''(x) \)**: - Represents the second derivative, indicating the concavity of \( f(x) \). - Points where \( f''(x) = 0 \) correspond to inflection points on \( f(x) \). 4. **Graph of \( f^{(3)}(x) \)**: - Shows the third derivative, reflecting the rate of change of concavity. - It confirms the behavior of concavity increase or decrease.Each graph has labeled axes, with \( y \) and \( x \) values marked. The graphs demonstrate how derivatives influence and describe the behavior of the function \( f(x) \) at various points across the x-axis.Beyond these values, the image might also show the use of horizontal grid lines to assist in sketching and visualizing precise mathematical aspects of each graph's curve.

Answered: -22 - x2, find f(x), f(x), f(x), and…

-22 - x2, find f(x), f(x), f(x), and f(4)(x). " (x) 70 = aph f, f', f", and f" on a common screen. y -6 다. -2 10 1 /// 10 6 X 다 -6 2 -5 10 y 10

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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