Find the indicated derivative.
$d/dt(-5t)$

• A. $0$
• B. $-5$
• C. $5$
• D. $5+t$

Answer: (B)

Verified step by step guidance

1. Identify the function for which you need to find the derivative. In this case, the function is \(-5t\).
2. Recall the basic rule for differentiating a constant multiplied by a variable: \(\frac{d}{dt}(ct) = c\), where \(c\) is a constant.
3. Apply this rule to the function \(-5t\). Here, \(-5\) is the constant \(c\).
4. Differentiate \(-5t\) with respect to \(t\) using the rule: \(\frac{d}{dt}(-5t) = -5\).
5. Conclude that the derivative of \(-5t\) with respect to \(t\) is \(-5\).