Questions: Find dy/dx. y=6 x dy/dx=□

Find dy/dx. y=6 x dy/dx=□
Transcript text: Find $\frac{d y}{d x}$. \[ \begin{array}{l} y=6 x \\ \frac{d y}{d x}=\square \end{array} \]
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Solution

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Solution Steps

To find the derivative \(\frac{d y}{d x}\) of the function \(y = 6x\), we apply the basic rule of differentiation for a linear function. The derivative of \(ax\) with respect to \(x\) is simply \(a\).

Step 1: Define the Function

We start with the function given by \( y = 6x \).

Step 2: Differentiate the Function

To find the derivative \(\frac{d y}{d x}\), we apply the differentiation rule for linear functions. The derivative of \( y = 6x \) is calculated as follows: \[ \frac{d y}{d x} = 6 \]

Final Answer

The derivative is \(\boxed{6}\).

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