tex]...

July 2022 1 9 Report

Найдите производные сложных функций:
1) [tex]1) y=ln^{2} (5^{x+1} +e^{x}).\\ 2) y=-x^{e}+tgln(8x^{2}+5x).\\ 3) y=( \frac{1+x^{6} }{x^{2}-6 })^{3}[/tex]

Answers & Comments

igorShap

Verified answer

$1)(ln^{2} (5^{x+1} +e^{x}))'=2ln (5^{x+1} +e^{x})*\dfrac{1}{5^{x+1} +e^{x}}*(5^{x+1}ln5*1+e^x*1)=\dfrac{2ln (5^{x+1} +e^{x})*(5^{x+1}ln5+e^x)}{5^{x+1} +e^{x}}$

$2)(-x^{e}+tg(ln(8x^{2}+5x)))'=-ex^{e-1}+\dfrac{1}{cos^2(ln(8x^{2}+5x))}*\dfrac{1}{8x^{2}+5x}*(16x+5)$

$3) (( \dfrac{1+x^{6} }{x^{2}-6 })^{3})'=3*( \dfrac{1+x^{6} }{x^{2}-6 })^2*\dfrac{6x^5*(x^2-6)-(1+x^6)*2x}{(x^2-6)^2}=3*( \dfrac{1+x^{6} }{x^{2}-6 })^2*\dfrac{4x^7-36x^5-2x}{(x^2-6)^2}$

0 votes Thanks 1

hulahupa спс

Answers & Comments

Verified answer

opredelit kolichestvo veshestva 3610 azotnoj kisloty nho

nazovite nezavisimye strany latinskoj ameriki 8 gosudarstv

kak vy ponimaete epigraf k pese revizor epigraf na zerkalo necha penyat ko

obraz zhizni sovremennogo rossijskogo podrostka3469321dfd09546d6f15277910838fba 63897

kakie promyshlennye obekty sushestvovali v chelyabinske v petrovskoe vremya

obraz zhizni sovremennogo rossijskogo podrostka72d452b1abec21fa175cad745b0410f0 92549

h 228668a2e61b832c42ccf922270203546 21183

opredelite massovuyu dolyu natriya v karbonate natriya

Present perfect: affirmative and negative...

boring...

рекомендуемые вопросы

Helpful Links

Helpful Social