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Bir necha
uzgarivchilarga ega bo;lgan ifodalarni xususiy xosilalarini xam diff
kamandasi yordamida
olish mumkin masalan cos
( )ifodaning x,y,z buyicha xususiy
xosilalarini
mos ravishda
-
, -
, -
ga teng:
>>sums x y z
>>diff(cos(x*y/z)x)
ans=
-sin(x*y/z)*y/z
>>diff(cos(x*y/z))
ans=
-sin(x*y/z)*x*y/z^2
Xar hil o`zgarivchilarga nisbatan bir necha xususiy xosilalarni olish uchun diff
kamandasi
kup marta ishlatilishi kerak, masalan cos
( )
ifodani avval x kiyin y va
undan kiyin z bo’yicha xususiy xosilasi quydagicha olinadi:
>>sums x z y
>>diff(diff(diff(cos(x*y/),x,)y,)z,)
ans=
-sin(x*y/z)*x^2*y^2/z^4+3*cos(x*y/z)*x/z^3*y+sin(x*y/z)z^2
Integrallash.
MATLAB dasturida aniq va aniqmas integralarni xisoblah uchun int
kamandasini quydagikurinishda foydalaniladi :
Int (s)-findsym funksiyasi orqali avtomatik
tarzda aniqlangan simvolli
o’zgarivchi bo`yicha s ifodadan aniqmas integrali xisoblanadi;
Int(s,v)-simvolli o`zgarivchi bo`yicha s ifodadan
aniqmas integrali xisoblanadi;
Integral xisoblashdan oldin simvolli o`zgarivchilar ko`rsatilishi yoki apstrof ichiga
olinishi kerak.
Integrallashga misollar.
>>syms x u t;
>>int (1/(1+x^2))
ans=
atan(x)
>>int(sin(x*u),x)
ans=
-1/u*cos(x*u)
>>int(x1*log(1+x1),0,1)
??? undefined function or variable ‘x1’.
>> int (‘x1*log(1+x1)’,0,1)
