[tex]y= x^{a^a} + a^{x^a} + a^{a^x} [/tex] Найти производную: [tex]f'(y)=?[/tex]. Created by stiki. algebra-ru

tex]...

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[tex]y= x^{a^a} + a^{x^a} + a^{a^x} [/tex]
Найти производную:
[tex]f'(y)=?[/tex]

Answers & Comments

Artem112

Verified answer

$(x^a)'=ax^{a-1} \\\ (a^x)'=a^x\ln a$

$y=x^{a^a}+a^{x^a}+a^{a^x} \\\ y'=a^ax^{a^a-1}+a^{x^a}\ln a(x^a)'+a^{a^x}\ln a (a^x)'= \\\ 
=a^ax^{a^a-1}+a^{x^a}\ln a\cdot ax^{a-1}+a^{a^x}\ln a \cdot a^x \ln a= 
\\\
=a^ax^{a^a-1}+a^{x^a+1}x^{a-1}\ln a+a^{a^x+x}\ln^2a$

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n; writeln('h=', h); f:=(sqr(x)+1)cos(x); xi:=a+ih; writeln('xi=',xi); yi:=xi;...

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n; writeln('h=', h); f:=(sqr(x)+1)cos(x); xi:=a+ih; writeln('xi=',xi); yi:=xi;...

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texverno iii vopros po nahozhdeniyu neizvestnyh h tak li vse nahoditsya libo

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tex s tochnostyu do 0001

perevedite tekst golf the modern game of golf was invented in scotland in the 18

pri perehode elektronov v atomah vodoroda s chetvertoj stacionarnoj orbity na vto43a0710554d64ae6b4a1b38c7ef8527b 94804

mc05adb07a5a2fe501b802d26e51b21a7 8392

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tex]...

n; writeln('h=', h); f:=(sqr(x)+1)cos(x); xi:=a+ih; writeln('xi=',xi); yi:=xi;...

n; writeln('h=', h); f:=(sqr(x)+1)cos(x); xi:=a+ih; writeln('xi=',xi); yi:=xi;...

texverno iii vopros po nahozhdeniyu neizvestnyh h tak li vse nahoditsya libo

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Verified answer

tex s tochnostyu do 0001

perevedite tekst golf the modern game of golf was invented in scotland in the 18

pri perehode elektronov v atomah vodoroda s chetvertoj stacionarnoj orbity na vto43a0710554d64ae6b4a1b38c7ef8527b 94804

mc05adb07a5a2fe501b802d26e51b21a7 8392

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perevedite predlozheniya na anglijskij yazyk ispolzuya passivnye konstrukcii 1

tex]...

n; writeln('h=', h); f:=(sqr(x)+1)*cos(x); xi:=a+i*h; writeln('xi=',xi); yi:=xi;...

n; writeln('h=', h); f:=(sqr(x)+1)*cos(x); xi:=a+i*h; writeln('xi=',xi); yi:=xi;...

texverno iii vopros po nahozhdeniyu neizvestnyh h tak li vse nahoditsya libo

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n; writeln('h=', h); f:=(sqr(x)+1)cos(x); xi:=a+ih; writeln('xi=',xi); yi:=xi;...

n; writeln('h=', h); f:=(sqr(x)+1)cos(x); xi:=a+ih; writeln('xi=',xi); yi:=xi;...