Textbook Question
In Exercises 59–86, find the derivative of y with respect to the given independent variable.
59. y = 2^x
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3. Techniques of Differentiation
Basic Rules of Differentiation
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Find the indicated derivative.
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Verified step by step guidance1
Identify the function for which you need to find the derivative. In this case, the function is \(-5t\).
Recall the basic rule for differentiating a constant multiplied by a variable: \(\frac{d}{dt}(ct) = c\), where \(c\) is a constant.
Apply this rule to the function \(-5t\). Here, \(-5\) is the constant \(c\).
Differentiate \(-5t\) with respect to \(t\) using the rule: \(\frac{d}{dt}(-5t) = -5\).
Conclude that the derivative of \(-5t\) with respect to \(t\) is \(-5\).
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