Question

F(x) = sin ( 12 x + 5)​

Answer 1

Ответ:

12cos(12x+5)

Пошаговое объяснение:

На фотографии изображён поиск производной.

Answer 2

Ответ:

x = - 5/12 + kп/12, k € Z

Пошаговое объяснение:

f(x) = sin ( 12 x + 5)

0 = sin ( 12 x + 5)

x = - 5/12 + kп/12, k € Z

Answer 3

The function $F(x) = \sin(12x + 5)$ represents a sine wave where the angle inside the sine function is $12x + 5$. This means that as $x$ increases, the angle inside the sine function increases, causing the sine value to oscillate between -1 and 1.

The number 12 in the argument of the sine function controls the frequency of the oscillation. A higher value of 12 will cause the sine wave to oscillate more rapidly, while a lower value would lead to slower oscillations.

The number 5 added to the argument of the sine function causes a horizontal shift (phase shift) of the wave to the left by $\frac{5}{12}$ units. This means that the wave will start its oscillation slightly to the left of where the usual sine wave would start.

In summary, the function $F(x) = \sin(12x + 5)$ represents a sine wave with a frequency of 12 and a phase shift of $\frac{5}{12}$ units to the left.