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Qanday funksiyaga ikki o'zgaruvchili funksiya deyiladi?
O'zgaruvchilari(noma'lumlari) ikki xil bo'lgan funksiya
Z=3x^2+5xy-7 funksiyaning x bo'yicha hosilasini toping
Z'(x)=6x+5y
Z=4x^3y^2-3x+7y funksiyaning y bo'yicha hosilasini toping
Z'(y)=12x^2y^2+7
π=π^π π^π Funksiyaning to'la differensialini toping
ππ’=2π₯π§^2 ππ₯+2π₯^2 π§ππ§
π=ππ(π^π+π^π) funksiyaning x bo'yicha hosilasini toping
z'(x)=2π₯/(π₯^2+π¦^2 )
Y=tg3x funksiyaning hosilasi nimaga teng
y'=3/cos^2(3x)
π§=6^2π₯+lnyΒ funksiyaning x bo'yicha hosilasini toping
Z'(x)=6^2xln6
Z=3x^4 y^2 funksiyaning toβla differensialini toping
dz=(12x^3 y^2) dx + (6x^4 y) dy
Z=2^3x+ln(5y+1) funksiyaning xususiy hosilalarini toping
Z'(x)=2^3x 3ln2Β Β Β Β Β Z'(y)=5/(5y+1)
f(x)=arctgx funksiyaning hosilasi nimaga teng?
f'(x)=1/(1+x^2)
Differensiallash nima?
Hosila olish
Integrallash nima?
Boshlang'ich funksiyasini topish
y=C o'zgarmas sonning hosilasi nimaga teng?
0
π§=6^2π₯βlnyΒ funksiyaning y bo'yicha hosilasini toping.
z'(y)=1/y
π=ππ(γ2π₯γ^3+γ3π¦γ^2) funksiyaning toβla differensialini toping
dz=6x^2/(2x^3+3y^2)dx+6y/(2x^3+3y^2)dy
z=ln(2x+3y) funksiyaning to'la fifferensialini toping
dz=(2/x+y)dx+(3/x+y)dy
