Problem 10
Question
Find the derivative of the function. $$ g(x)=3 x-1 $$
Step-by-Step Solution
Verified Answer
The derivative of \(g(x) = 3x - 1\) is 3.
1Step 1: Identify the function
The function given in the problem is \(g(x) = 3x-1\).
2Step 2: Differentiate
Differentiate the function with respect to x. According to the power rule, the derivative of \(x^n\) is \(nx^{n-1}\). So, the derivative of \(x\) is 1. Multiply this by the coefficient of x in your function. Hence, the derivative of the function \(g(x)\) i.e. \(g'(x)\), is equal to \(3*1\), which equals 3.
3Step 3: Result
Thus, the derivative of the function \(g(x) = 3x - 1\) is 3.
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