Вопрос:

Find the derivative of sin(x).

Ответ:

Solution:

The derivative of \( \sin(x) \) with respect to \( x \) is \( \cos(x) \).

The problem asks to find the derivative of \( \sin(x) \).

Using the power rule and basic differentiation rules, we know that:

  • The derivative of \( \sin(x) \) is \( \cos(x) \).

Therefore, \( \frac{d}{dx}[\sin(x)] = \cos(x) \).

Answer: \( \cos(x) \)