Let $T(t)$ be the temperature of a room after $t$ hours, in degrees Celsius. What does $T^{\prime }\left(3\right)=-5$ mean?

The depth of snow after $t$ hours is $S(t)=4t^2-7t$ centimeters. How fast is it changing at $t=2$? Give the answer with units.

Let $P(x)$ be the profit from selling $x$ chairs, in dollars. What does $P^{\prime }\left(3\right)=-1$ mean?

Let $D(t)$ be the distance a car has traveled after $t$ hours, in miles, with $D^{\prime }\left(8\right)=8$ and $D^{\prime \prime }\left(8\right)=-8$. Which describes the situation at $t=8$?

Let $T(t)$ be the temperature of a room after $t$ hours, in degrees Celsius. What are the units of $T^{\prime }\left(t\right)$?

Let $M(t)$ be the mass of a culture after $t$ days, in grams. What does $M^{\prime \prime }\left(5\right)=-1$ say?

Let $P(t)$ be the population of a colony after $t$ days, in organisms. What does $P^{\prime }\left(8\right)=-5$ mean?

Let $M(t)$ be the mass of a culture after $t$ days, in grams. What does $M^{\prime \prime }\left(9\right)=4$ say?

Let $P(t)$ be the population of a colony after $t$ days, in organisms. What does $P^{\prime }\left(5\right)=-7$ mean?

Let $P(t)$ be the population of a colony after $t$ days, in organisms. What are the units of $P^{\prime }\left(t\right)$?

The population of a colony after $t$ days is $P(t)=6t^2-t$ organisms. How fast is it changing at $t=2$? Give the answer with units.

Let $P(t)$ be the population of a colony after $t$ days, in organisms. What does $P^{\prime \prime }\left(2\right)=-5$ say?

Let $K(t)$ be the concentration of a drug after $t$ minutes, in milligrams per liter. What are the units of $K^{\prime }\left(t\right)$?

Let $D(t)$ be the distance a car has traveled after $t$ hours, in miles. What does $D^{\prime \prime }\left(3\right)=8$ say?

Let $F(t)$ be the fuel remaining after $t$ minutes of flight, in liters. What are the units of $F^{\prime }\left(t\right)$?

Let $S(t)$ be the depth of snow after $t$ hours, in centimeters, with $S^{\prime }\left(3\right)=4$ and $S^{\prime \prime }\left(3\right)=-4$. Which describes the situation at $t=3$?

Let $R(x)$ be the revenue from selling $x$ tickets, in dollars. What does $R^{\prime \prime }\left(8\right)=-4$ say?

Let $S(t)$ be the depth of snow after $t$ hours, in centimeters. What does $S^{\prime }\left(7\right)=8$ mean?

Let $C(x)$ be the cost of producing $x$ chairs, in dollars. What are the units of $C^{\prime }\left(x\right)$?

Let $F(t)$ be the fuel burned after $t$ minutes of flight, in liters. What does $F^{\prime }\left(8\right)=4$ mean?

Let $K(t)$ be the concentration of a drug after $t$ minutes, in milligrams per liter, with $K^{\prime }\left(7\right)=2$ and $K^{\prime \prime }\left(7\right)=-2$. Which describes the situation at $t=7$?

Let $R(x)$ be the revenue from selling $x$ tickets, in dollars. What are the units of $R^{\prime }\left(x\right)$?

The population of a colony after $t$ days is $P(t)=6t^2-t$ organisms. How fast is it changing at $t=6$? Give the answer with units.

The concentration of a drug after $t$ minutes is $K(t)=6t^2+2t$ milligrams per liter. How fast is it changing at $t=2$? Give the answer with units.

Let $P(t)$ be the population of a colony after $t$ days, in organisms, with $P^{\prime }\left(6\right)=2$ and $P^{\prime \prime }\left(6\right)=-2$. Which describes the situation at $t=6$?

Let $S(t)$ be the depth of snow after $t$ hours, in centimeters. What are the units of $S^{\prime }\left(t\right)$?

Let $V(t)$ be the volume of water in a tank after $t$ minutes, in gallons. What does $V^{\prime }\left(3\right)=7$ mean?

Let $F(t)$ be the fuel burned after $t$ minutes of flight, in liters, with $F^{\prime }\left(4\right)=6$ and $F^{\prime \prime }\left(4\right)=-6$. Which describes the situation at $t=4$?

The fuel burned after $t$ minutes of flight is $F(t)=5t^2-8t$ liters. How fast is it changing at $t=5$? Give the answer with units.

Let $T(t)$ be the temperature of a room after $t$ hours, in degrees Celsius. What does $T^{\prime }\left(6\right)=-5$ mean?