With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Chapter 5.6, Problem 94AYU
(A)
To determine
To draw:
The graph of the given function
(A)
Expert Solution
Explanation of Solution
Given:
The function is
f(x)=3−x+1g(x)=3x−2
Concept used:
Definition of the differentiation:-Differentiation is the action of computing a derivative
The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x
Calculation:
The function
f(x)=3−x+1g(x)=3x−2...................(1)
Draw the table
f(x)=3−x+1
Test one point in each of the region formed by the graph
If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function
x−axis
0
3
−0.66
2
y−axis
2
1
3
1.11
(B)
To determine
To draw:
The graph of the given function
(B)
Expert Solution
Explanation of Solution
Given:
The function is
f(x)=3−x+1g(x)=3x−2
Concept used:
Definition of the differentiation:-Differentiation is the action of computing a derivative
The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x
Calculation:
The function
f(x)=3−x+1g(x)=3x−2...................(1)
Draw the table
g(x)=3x−2
Test one point in each of the region formed by the graph
If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function
x−axis
0
0.63
1
−1
y−axis
−1
0
1
−1.66
(C)
To determine
To draw:
The graph of the given function
(C)
Expert Solution
Explanation of Solution
Given:
The function is
f(x)=3−x+1g(x)=3x−2
Concept used:
Definition of the differentiation:-Differentiation is the action of computing a derivative
The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x
Calculation:
The function
f(x)=3−x+1g(x)=3x−2...................(1)
Draw the table
f(x)=3−x+1
Test one point in each of the region formed by the graph
If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function
x−axis
0
3
−0.66
2
y−axis
2
1
3
1.11
Draw the table
g(x)=3x−2
Test one point in each of the region formed by the graph
If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY