(1+2x)^1/2 eching | Microsoft math hal qiluvchi

x ga nisbatan hosilani topish

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Viktorina

Algebra

Veb-qidiruvdagi o'xshash muammolar

https://socratic.org/questions/what-is-the-limit-of-1-2x-1-x-as-x-approaches-infinity

https://socratic.org/questions/what-is-the-derivative-of-3-2x-1-2

https://math.stackexchange.com/questions/1297799/find-a-formula-for-the-binomial-coefficients-of-the-macluarin-series-for-frac

https://math.stackexchange.com/questions/82428/using-the-taylor-expansion-for-1x-1-2-evaluate-sum-n-0-infty-bi

https://math.stackexchange.com/questions/2954152/find-the-binomial-expansion-of-the-function-up-to-the-first-3-non-zero-terms-s

Baham ko'rish

Klipbordga nusxa olish

\frac{1}{2}\left(2x^{1}+1\right)^{\frac{1}{2}-1}\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1}+1)

Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.

\frac{1}{2}\left(2x^{1}+1\right)^{-\frac{1}{2}}\times 2x^{1-1}

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

x^{0}\left(2x^{1}+1\right)^{-\frac{1}{2}}

Qisqartirish.

x^{0}\left(2x+1\right)^{-\frac{1}{2}}

Har qanday t sharti uchun t^{1}=t.

1\left(2x+1\right)^{-\frac{1}{2}}

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

\left(2x+1\right)^{-\frac{1}{2}}

Har qanday t sharti uchun t\times 1=t va 1t=t.