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The temperature of a turkey in an oven is measured by the differentiable function 
f, where 
f(t) is measured in degrees Fahrenheit and 
t is measured in minutes. What are the units of 
f^('')(t) ?
degrees Fahrenheit
degrees Fahrenheit / minute
degrees Fahrenheit / minute 
^(2)
minutes
minutes / degree Fahrenheit
minutes / degree Fahrenheit 
^(2)

The temperature of a turkey in an oven is measured by the differentiable function f f , where f(t) f(t) is measured in degrees Fahrenheit and t t is measured in minutes. What are the units of f(t) f^{\prime \prime}(t) ?\newlinedegrees Fahrenheit\newlinedegrees Fahrenheit / minute\newlinedegrees Fahrenheit / minute 2 { }^{2} \newlineminutes\newlineminutes / degree Fahrenheit\newlineminutes / degree Fahrenheit 2 { }^{2}

Full solution

Q. The temperature of a turkey in an oven is measured by the differentiable function f f , where f(t) f(t) is measured in degrees Fahrenheit and t t is measured in minutes. What are the units of f(t) f^{\prime \prime}(t) ?\newlinedegrees Fahrenheit\newlinedegrees Fahrenheit / minute\newlinedegrees Fahrenheit / minute 2 { }^{2} \newlineminutes\newlineminutes / degree Fahrenheit\newlineminutes / degree Fahrenheit 2 { }^{2}
  1. Understand function and derivative: Step 11: Understand the function and its first derivative.
  2. Determine units of second derivative: Step 22: Determine the units of the second derivative.

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