Activity 2.1.2

Use the rules for constant, power, and exponential functions to determine the derivative of each of the following functions. For each, state your answer using full and proper notation, labeling the derivative with its name. For example, if you are given a function $h(z)$, you should use notation such as “$h'(z) =$” or “$\frac{dh}{dz} =$” as part of your response.

1. $f(t) = \pi$

2. $g(z) = 7^z$

3. $h(w) = w^{3/4}$

4. $p(x) = 3^{1/2}$

5. $r(t) = (\sqrt{2})^t$

6. $s(q) = q^{-1}$

7. $m(t) = \frac{1}{t^3}$