Question

Найти производную 3^х^х

Answer 1

$frac{d}{dx} (3 {}^{x {}^{x} } ) \ frac{d}{dg} (3 {}^{g} ) times frac{d}{dx} (x {}^{x} ) \ ln(3) times 3 {}^{g} times e {}^{ ln(x) x} times ( frac{1}{x} times x + ln(x) ) \ ln(3) times 3 {}^{x {}^{x} } times e {}^{ ln(x) } times ( frac{1}{x} times x + ln(x) ) \ ln(3) times 3 {}^{x {}^{x} } times x {}^{x} + ln(3) times 3 {}^{x {}^{x} } times x {}^{x} times ln(x)$

Answer 2

Ответ:

$y=3^{x^x}\\lny=x^xln3\\dfrac{y'}{y} =x^x(lnx+1)ln3\\y'=3^{x^x}x^x(lnx+1)ln3$

Пошаговое объяснение: