(2t+3)^1/2 eching | Microsoft math hal qiluvchi

t ga nisbatan hosilani topish

Baholash

Viktorina

Algebra

5xshash muammolar:

Veb-qidiruvdagi o'xshash muammolar

https://socratic.org/questions/if-1-3-1-2-i-is-the-root-of-the-equation-2z-3-az-2-bz-4-0-find-the-values-of-the

https://math.stackexchange.com/questions/689088/ordinary-differential-equation-equals-to-non-zero-integers

https://math.stackexchange.com/questions/3080746/show-xt-is-strictly-decreasing-for-t0-for-the-initial-value-problem-d

https://math.stackexchange.com/questions/3108432/finding-lim-x-to-0-fracx1-2-cos-pi1-x22-x2-31-2

Baham ko'rish

Klipbordga nusxa olish

\frac{1}{2}\left(2t^{1}+3\right)^{\frac{1}{2}-1}\frac{\mathrm{d}}{\mathrm{d}t}(2t^{1}+3)

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(2t^{1}+3\right)^{-\frac{1}{2}}\times 2t^{1-1}

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

t^{0}\left(2t^{1}+3\right)^{-\frac{1}{2}}

Qisqartirish.

t^{0}\left(2t+3\right)^{-\frac{1}{2}}

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

1\left(2t+3\right)^{-\frac{1}{2}}

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

\left(2t+3\right)^{-\frac{1}{2}}

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