Ikki o'zgaruvchili funksiya | Baamboozle - Baamboozle

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Hosilaga teskari amal?

Boshlang'ich funksiya (Integral)

Z=3x^2+5xy-7 funksiyaning x bo'yicha hosilasini toping

Z'(x)=6x+5y

Differensiallash nima?

Hosila olish

𝑧=6^2𝑥+lny funksiyaning x bo'yicha hosilasini toping

Z'(x)=6^2xln6

f(x)=15x^3 funksiyaning ikkinchi tartibli hosilasini toping

f'(x)=90x

Z=4x^3y^2-3x+7y funksiyaning y bo'yicha hosilasini toping

Z'(y)=12x^2y^2+7

Hosilaning fizik ma'nosi nima?

Yo'l hosilasi tezlikni, tezlikni hosilasi tezlanishni beradi

𝒁=𝒍𝒏(𝒙^𝟐+𝒚^𝟐) funksiyaning x bo'yicha hosilasini toping

z'(x)=2𝑥/(𝑥^2+𝑦^2 )

Qanday funksiyaga ikki o'zgaruvchili funksiya deyiladi?

O'zgaruvchilari(noma'lumlari) ikki xil bo'lgan funksiya

z=ln(2x+3y) funksiyaning to'la fifferensialini toping

dz=(2/x+y)dx+(3/x+y)dy

Z=3x^4 y^2 funksiyaning to‘la differensialini toping

dz=(12x^3 y^2) dx + (6x^4 y) dy

Y=tg3x funksiyaning hosilasi nimaga teng

y'=3/cos^2(3x)

f(x)=arctgx funksiyaning hosilasi nimaga teng?

f'(x)=1/(1+x^2)

Z=2^3x+ln(5y+1) funksiyaning xususiy hosilalarini toping

Z'(x)=2^3x 3ln2 Z'(y)=5/(5y+1)

𝑍=𝑙𝑛(〖2𝑥〗^3+〖3𝑦〗^2) funksiyaning to‘la differensialini toping

dz=6x^2/(2x^3+3y^2)dx+6y/(2x^3+3y^2)dy

𝒖=𝒙^𝟐 𝒛^𝟐 Funksiyaning to'la differensialini toping

𝑑𝑢=2𝑥𝑧^2 𝑑𝑥+2𝑥^2 𝑧𝑑𝑧

Integrallash nima?

Boshlang'ich funksiyasini topish

𝑧=6^2𝑥−lny funksiyaning y bo'yicha hosilasini toping.

z'(y)=1/y

y=C o'zgarmas sonning hosilasi nimaga teng?

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f(x)=4x^3+5x^2-7x funksiyaning ikkinchi tartibli hosilasini toping

f'(x)=24x+10