• 1(3^(1/2)*i)/2-1/2-(3^(1/2)*i)/2-1/2 Differensiallash.
  • Xuddi shu natijani boshqa yo’l bilan xam olishimiz mumkin : >>f=inline(‘x^3+x^2+2’) f= Inline function: f(x)=x^3+x^2+x+2
  • >>syms x;diff(x^3+x^2+x+2.2) ans= 6*x+2 >>syms x;diff(x^3+x^2+x+2.3) ans= 6
  • Int(s) - findsym
  • Solve buyrug’i Solve (expr1, expr2,…, exprN, var1, var2,…varN)




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    Solve buyrug’i
    Solve (expr1, expr2,…, exprN, var1, var2,…varN)
    formatda ishlatiladi va expr tengliklar bajariladigan var o`zgaruvchilarning qiymatlari qaytariladi.

    Misol. X3-1=0 tenglamani yechishni keltiramiz:
    syms x
    y=x^3-1;
    s=solve(y,x)
    s= 1(3^(1/2)*i)/2-1/2-(3^(1/2)*i)/2-1/2

    Differensiallash. Simvolli ifodalarni defferensallash xamda sonli shakilda (masalan m fayil ko’rinishida) berilgan funksiyalarning hosilasini aniqlashda diff buyrug’idan foydaliniladi.

    Misol.
    ifodaning x bo’yicha differensali 3 +2x+1 bo’ladi. MATLABda u quyidagicha bajariladi:
    >> sums x; diff(x^3+x^2+x+2)
    ans= 3*x^2+2*x+1
    Xuddi shu natijani boshqa yo’l bilan xam olishimiz mumkin :
    >>f=inline(‘x^3+x^2+2’)
    f= Inline function:
    f(x)=x^3+x^2+x+2
    >>diff(f(x))
    ans= 3*x^2+2*x+1
    Ikkinchi hosila uchun sintaksis diff(f(x),2) va n-hosila uchun diff (f(x),n) kurinishga ega boladi.Yuqorida keltrilgan funksiya uchun ikkinchi, uchunchi va turtinchi hosilalarni olishni ko’rib chiqamiz:
    >>syms x;diff(x^3+x^2+x+2.2)
    ans= 6*x+2
    >>syms x;diff(x^3+x^2+x+2.3)
    ans= 6
    >>syms x;diff(x^3+x^2+x+2.4)
    ans= 0
    Integrallash. MATLAB dasturida aniq va aniqmas integralarni xisoblah uchun int buyrug’i quyidagi ko’rinishda 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.

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    Solve buyrug’i Solve (expr1, expr2,…, exprN, var1, var2,…varN)

    Download 0,6 Mb.