Find the Derivative - d/dx 6x

Problem

(d(6)*x)/d(x)

Solution

1. Identify the function as a linear term of the form c*x where c is a constant.

2. Apply the power rule for differentiation, which states that d(x^n)/d(x)=n*x^(n−1)

3. Substitute n=1 into the rule, resulting in (d(6)*x^1)/d(x)=1⋅6*x^(1−1)

4. Simplify the expression by calculating the exponent x^0=1

Final Answer

(d(6)*x)/d(x)=6

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