Interpreting Derivatives and Integrals (UNITS!)

• When you take a derivative, you divide units by another time unit!

• When you take a derivative, the units stay the same!

• When you take a derivative, you REMOVE one unit from the denominator!

• When finding an average of an integral, you add a time unit to denominator.

• When finding an average of an integral, the units stay the same.

• When finding an average of an integral, you remove a time unit from your denominator.

• When you take an integral, you add a time unit to the denominator.

• When you take an integral, the units stay the same!

• When you take an integral, you remove a time unit from the denominator!

If s(t) represents the meters traveled in t minutes, s'(t) would represent...

• meters

• meters/min

• meters/min^2

• min/meters

Tags

CCSS.HSF.LE.B.5

The function W(t) gives the pool's water level (in gal) after t hours. W'(t) units would be...

• gallons

• gallons/hour

• gallons/hour^2

• hour/gallons

Tags

CCSS.HSF.LE.B.5

 t is measured in minutes and temperature H(t) is measured in degrees Celsius, What would the units be if we found

 $\frac{1}{10}\int_0^{10}H\left(t\right)dt$  

• Degrees Celsius

• Degrees Celsius/minute

• Degrees Celsius^2

• Degrees Celsius/minute^2

 t is measured in minutes and temperature H(t) is measured in degrees Celsius, What would the units be if we found H'(7)?

• Degrees Celsius

• Degrees Celsius/minute

• Degrees Celsius^2

• Degrees Celsius/minute^2

Tags

CCSS.HSF.IF.B.4

The table gives values of the rate of change of the radius of the balloon, r(t), measured in feet per minute. What would the units be if you found r'(9)

• ft

• ft/min

• ft/min^2

• min/ft

Tags

CCSS.HSF.IF.B.4

The table gives values of the rate of change of the radius of the balloon, r(t), measured in feet per minute. What would the units be if you found a LRAM to approximate $\int_1^{12}r\left(t\right)dt$  

• ft

• ft/min

• ft/min^2

• min/ft

The table gives values of the rate of change of the radius of the balloon, r(t), measured in feet per minute. What would the units be if you found the average value of r(t) from 0 to 12. 

• ft

• ft/min

• ft/min^2

• min/ft