Differentiate the following expressions and saveit under the given variables. 1. yp1 = 2. yp2 3. yp3 = = x² (6-x) x+2 d dx d dx } :( find the derivative and save as yp1 x² (4-x) 4+x (x²-1)² x²-6x-1, find the derivative and save as find the derivative and save as yp3
Differentiate the following expressions and saveit under the given variables. 1. yp1 = 2. yp2 3. yp3 = = x² (6-x) x+2 d dx d dx } :( find the derivative and save as yp1 x² (4-x) 4+x (x²-1)² x²-6x-1, find the derivative and save as find the derivative and save as yp3
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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Transcribed Image Text:Exercises
Differentiate the following expressions and saveit under the given variables.
1. yp1
2. yp2
Script>
3. yp3 =
=
=
=
=
x² (6-x)
x+2
8 yp1 =
9 %Solve for yp2
10 yp2 =
11 %Solve for yp3
12 yp3 =
13
d
dx
d
}
find the derivative and save as yp1
x² (4-x)
4+x
dxx²-6x-1)
"
1
Define the variables for symbolic processing
2 syms X
3 Type in the functions y1, y2 and y3
4 y1(x)
5 y2(x)
6 y3 (x)
7 %Solve for yp1
find the derivative and save as yp2
find the derivative and save as yp3
![diff Difference and approximate derivative.
diff(X), for a vector X, is [X(2)-X(1) X(3)-X(2) ... X(n)-X(n-1)].
diff(X), for a matrix X, is the matrix of row differences, [X(2:n,:) - X(1:n-1,:)].
diff(X), for an N-D array X, is the difference along the first non-singleton dimension of X.
diff(X,N) is the N-th order difference along the first non-singleton dimension (denote it by DIM). If N >= size(X,DIM), diff takes successive differences along the next non-
singleton dimension.
diff(X,N,DIM) is the Nth difference function along dimension DIM. If N >= size(X,DIM), diff returns an empty array.
Examples:
Y = diff(X) % calculates thederivative of x
Y = diff(X,n) %applies diff recursively n times,
Y = diff(X,n,dim) % is the nth difference function
returns an empty array (USED IN DIFFERENCE
resulting in the nth difference.
calculated along the dimension specified by scalar dim. If order n equals or exceeds the length of dimension dim, diff
EQUATIONS)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8a54a68-841f-4d1f-85e3-04eb32a77347%2F746e9525-0851-415a-a22a-1fd007dc471e%2F1iurcu2g_processed.png&w=3840&q=75)
Transcribed Image Text:diff Difference and approximate derivative.
diff(X), for a vector X, is [X(2)-X(1) X(3)-X(2) ... X(n)-X(n-1)].
diff(X), for a matrix X, is the matrix of row differences, [X(2:n,:) - X(1:n-1,:)].
diff(X), for an N-D array X, is the difference along the first non-singleton dimension of X.
diff(X,N) is the N-th order difference along the first non-singleton dimension (denote it by DIM). If N >= size(X,DIM), diff takes successive differences along the next non-
singleton dimension.
diff(X,N,DIM) is the Nth difference function along dimension DIM. If N >= size(X,DIM), diff returns an empty array.
Examples:
Y = diff(X) % calculates thederivative of x
Y = diff(X,n) %applies diff recursively n times,
Y = diff(X,n,dim) % is the nth difference function
returns an empty array (USED IN DIFFERENCE
resulting in the nth difference.
calculated along the dimension specified by scalar dim. If order n equals or exceeds the length of dimension dim, diff
EQUATIONS)
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