Write a program to approximate the derivatives of eª, cos(x) and sin(x) at x = 0 using the limits de dx x=0 eh - 1 lim h→0 h h d cos(x) dr x=0 MIN lim h-0 0.958851 0.500000 1.297443 -0.244835 0.250000 1.136102 -0.124350 0.989616 0.125000 1.065188 -0.062419 0.997398 0.062500 1.031911 -0.031240 0.999349 cos(h) - 1 d sin(x) da Your program should use values of h = 1/2, 1/4, 1/8 ..., 1/2", where n is read from the key- board, as shown here: Enter n for h = 1/2 down to 1/2 n: 10 z=0 Your program output should be written to the file derivativeout.txt and should look like: Dexp (x) Dcos (x) Dsin (x) For marking purposes run your program with n = 20. sin (h) - lim h→0 h

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Use c program to solve this Q Plz do not use # include stdlib.h Use # include stdio.h and # include math.h ONLY AND use printf, scanf, fin, fout
Write a program to approximate the derivatives of eª, cos(x) and sin(x) at x = 0 using the
limits
det
dx
12-0
eh
lim
h→0 h
1
h
d cos(x)
2=0
m
lim
h→0
0.500000 1.297443 -0.244835 0.958851
0.250000 1.136102 -0.124350 0.989616
0.125000 1.065188 -0.062419 0.997398
0.062500 1.031911 -0.031240 0.999349
cos(h) - 1
h
d sin(x)
2=0
Your program should use values of h = 1/2, 1/4, 1/8 ...,1/2″, where n is read from the key-
board, as shown here:
Enter n for h = 1/2 down to 1/2^n: 10
For marking purposes run your program with n = 20.
sin(h)
Your program output should be written to the file derivativeout.txt and should look like:
Dexp (x) Dcos (x) Dsin (x)
h→0 h
Transcribed Image Text:Write a program to approximate the derivatives of eª, cos(x) and sin(x) at x = 0 using the limits det dx 12-0 eh lim h→0 h 1 h d cos(x) 2=0 m lim h→0 0.500000 1.297443 -0.244835 0.958851 0.250000 1.136102 -0.124350 0.989616 0.125000 1.065188 -0.062419 0.997398 0.062500 1.031911 -0.031240 0.999349 cos(h) - 1 h d sin(x) 2=0 Your program should use values of h = 1/2, 1/4, 1/8 ...,1/2″, where n is read from the key- board, as shown here: Enter n for h = 1/2 down to 1/2^n: 10 For marking purposes run your program with n = 20. sin(h) Your program output should be written to the file derivativeout.txt and should look like: Dexp (x) Dcos (x) Dsin (x) h→0 h
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