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The first derivative of the function \( y = (3x + 2)^2 \) is:

\[
\frac{dy}{dx} = 18x + 12
\]

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Here are 5 related questions you might want to explore:
1. How do you apply the chain rule in finding the derivative of composite functions?
2. Can you find the second derivative of this function?
3. What is the value of the derivative at a specific point, say \( x = 1 \)?
4. How does the graph of the derivative compare to the original function?
5. How do we determine critical points from the first derivative?

**Tip:** Always simplify expressions inside parentheses before applying the power rule.

Find the first derivative of the function y = (3x + 2)^2

Learn how to find the first derivative of the function y = (3x + 2)^2 using the chain rule and power rule. This step-by-step solution involves key differentiation concepts, including the derivative of power and linear functions. Suitable for high school students in Grades 10-12.

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