Find the indicated derivative.
$f(x)=3x-4$
$f^{\(\prime\)}(x)=$

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer: (D)

Verified step by step guidance

1. Identify the function given: \( f(x) = 3x - 4 \). This is a linear function.
2. Recall that the derivative of a linear function \( f(x) = ax + b \) is simply the coefficient \( a \).
3. In this case, the coefficient \( a \) is 3, as seen in the term \( 3x \).
4. Therefore, the derivative \( f'(x) \) is the constant value of the coefficient of \( x \), which is 3.
5. Conclude that \( f'(x) = 3 \), as the derivative of a constant term \(-4\) is zero.