Question

РЕШИТЕ СРОЧНО ДАЮ 100 БАЛОВ

Answer 1

Ответ:

$y = \sqrt{x} + 3x; x_{0} = 4$

$y(4) = \sqrt{4} + 3\cdot 4 = 2 + 12 = 14$

$y = e^{x} - 2 x^{4} + 21; x_{0} = 0$

$y(0) = e^{0} - 2 \cdot 0^{4} + 21 = 1 - 2 \cdot 0 + 21 = 1 + 21 = 22$

$y = \cos x \sin x; x_{0} = \dfrac{\pi }{4}$

$y = \dfrac{2\cdot \cos x \sin x}{2} = \dfrac{\sin 2x}{2}$

$y \left( \dfrac{\pi }{4} \right) = \dfrac{\sin \left( 2 \cdot\dfrac{\pi }{4} \right)}{2} = \dfrac{\sin \left( \dfrac{\pi }{2} \right)}{2} = \dfrac{1}{2} = 0,5$

$(7 - x)' = (7)' - (x)' = 0 - 1 = -1$

$(7 + x)' = (7)' + (x)' = 0 + 1 = 1$

$(7)' = 0$

$(7x)' = 7(x)' = 7 \cdot 1 = 7$