нужна помощь. помогите решить. Created by Isovun. algebra-ru

#19: ∪ ∪ f(x)↓ (-∞; -√2] ∪ [0; √2]f(x)↑ [-√2; 0] ∪ [√2; +∞)max f(x) = 3min f(x) = -1#21:#22:a)

нужна помощь. помогите решить...

July 2022 1 5 Report

нужна помощь. помогите решить

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Khaker1999 #19:
$f(x) = x^4 - 4x^2 + 3 \\
f'(x) = 4x^3 - 8x = 4x(x^2 - 2)\\
f'(x) = 0 \ \textless \ =\ \textgreater \ x = 0$ ∪ $x = \sqrt2$ ∪ $x = -\sqrt2$
f(x)↓ (-∞; -√2] ∪ [0; √2]
f(x)↑ [-√2; 0] ∪ [√2; +∞)
max f(x) = 3
min f(x) = -1
#21:
$\left \{ {{x - y = 8} \atop {2^{x - 3y} = 16}} \right. \ \textless \ =\ \textgreater \ \left \{ {{x = 8 + y} \atop {2 ^ {8 - 2y} = 2^4}} \right. \ \textless \ =\ \textgreater \ \left \{ {{x = 8 + y} \atop {2y = 4}} \right. \ \textless \ =\ \textgreater \ \left \{ {{y=2} \atop {x=10}} \right.$
#22:
a) $> <img src=$ ∪ $sin(x) = \frac{1}{4}$
$\ \textless \ =\ \textgreater \ x = \pi k, k$ ∈ Z ∪ $x = +- arcsin(\frac{1}{4}) + 2\pi k, k$ ∈ Z
b) {2π; 2π + arcsin(1/4)}

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