To find the derivative \( \frac{dy}{dx} \) of the function \( y = \sin(x) \), we use the derivative rule for trigonometric functions.

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

\[
\frac{dy}{dx} = \cos(x)
\]

So, the derivative of \( y = \sin(x) \) is \( \frac{dy}{dx} = \cos(x) \).

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Here are 5 related questions:
1. What is the derivative of \( y = \cos(x) \)?
2. How do you find the derivative of \( y = \tan(x) \)?
3. What is the derivative of \( y = \sin(2x) \)?
4. How do you apply the chain rule to find the derivative of \( y = \sin(g(x)) \)?
5. What is the second derivative of \( y = \sin(x) \)?

**Tip:** Understanding the basic derivatives of trigonometric functions is crucial for solving more complex calculus problems.

Discover how to find the derivative dy/dx when y = sin(x). This problem involves fundamental calculus concepts, including the differentiation of trigonometric functions. Ideal for students in Grades 11-12.

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