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Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at x=2. The graph of g(X) is blue. Let h(x) = f(g(x)). Find A. h'(1) = ____ B. h'(2) = ____ C. h'(3) = ____

Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at x=2. The graph of g(X) is blue. Let h(x) = f(g(x)). Find A. h'(1) = ____ B. h'(2) = ____ C. h'(3) = ____

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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Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at x=2. The graph of g(X) is blue.

Let h(x) = f(g(x)). Find

A. h'(1) = ____
B. h'(2) = ____
C. h'(3) = ____

The image depicts a two-dimensional graph with a triangle and a line segment. Here is a detailed explanation: 1. **Triangle**: - The triangle is shown in black lines and is oriented with its base on the x-axis. - The vertices of the triangle are approximately at the points (0, 0), (4, 0), and (2, 4). - The triangle's base extends from (0, 0) to (4, 0), and its apex reaches (2, 4) on the y-axis. 2. **Line Segment**: - A blue line segment starts at the vertex (0, 0) on the left, extending to approximately the point (4, 1). - This line crosses the x-axis at about (1, 0), indicating a possible intercept. 3. **Coordinate Axes**: - The graph is plotted on a coordinate plane with both x and y-axes marked. - The x-axis has ticks at intervals of 1 unit. - The y-axis has ticks at one-unit intervals ranging from -1 to 4. 4. **Grid**: - The background features a grid that assists in identifying the coordinates and alignment of the triangle and line. This graph could represent a geometric problem involving a triangle and a line, useful in educational settings to discuss intersections, slopes, or areas.
Transcribed Image Text:The image depicts a two-dimensional graph with a triangle and a line segment. Here is a detailed explanation: 1. **Triangle**: - The triangle is shown in black lines and is oriented with its base on the x-axis. - The vertices of the triangle are approximately at the points (0, 0), (4, 0), and (2, 4). - The triangle's base extends from (0, 0) to (4, 0), and its apex reaches (2, 4) on the y-axis. 2. **Line Segment**: - A blue line segment starts at the vertex (0, 0) on the left, extending to approximately the point (4, 1). - This line crosses the x-axis at about (1, 0), indicating a possible intercept. 3. **Coordinate Axes**: - The graph is plotted on a coordinate plane with both x and y-axes marked. - The x-axis has ticks at intervals of 1 unit. - The y-axis has ticks at one-unit intervals ranging from -1 to 4. 4. **Grid**: - The background features a grid that assists in identifying the coordinates and alignment of the triangle and line. This graph could represent a geometric problem involving a triangle and a line, useful in educational settings to discuss intersections, slopes, or areas.
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