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The image shows a differentiation problem asking to find \(\frac{d}{dx}(2x + 6)\).

Let's solve it step by step:

1. The expression we are differentiating is \(2x + 6\).
2. The derivative of a constant term, like 6, is 0.
3. The derivative of \(2x\) with respect to \(x\) is simply 2 (since the derivative of \(x\) is 1, and the constant 2 remains).

So, the derivative is:
\[
\frac{d}{dx}(2x + 6) = 2
\]

Do you want more details on this?

Here are 5 related questions to further explore differentiation:

1. What is the derivative of \(3x + 4\)?
2. How do you differentiate a quadratic function like \(x^2 + 2x + 1\)?
3. What is the derivative of \(5x^3 + 2x^2 + 3x + 1\)?
4. How do you find the derivative of a function with a product, like \(x \cdot \sin(x)\)?
5. What is the derivative of a constant function?

**Tip:** When differentiating, always remember the power rule: \(\frac{d}{dx}(x^n) = nx^{n-1}\).

Find the derivative of (2x + 6) with respect to x.

Learn how to differentiate the expression 2x + 6 with respect to x. This step-by-step solution covers the basic concept of differentiation using the Power Rule, suitable for high school students in Grades 9-12.

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