# Math Insight

### Elementary derivative problems

Name:
Group members:
Section:
1. Compute the derivative of $g(z) = 7 z^{2} + 8 z + 3$.

2. Differentiate the function $\displaystyle u(t) = \frac{10 t + 8}{- 8 t + 9}$.

3. Calculate the derivative of $w(s) = (- 2 s + 3) \ln (s)$.

4. Differentiate each of the following functions:
1. $g(x) = ( 7 x^{2} + 5 x + 8 ) e^x$
2. $h(x) = \ln ( x^{3} - 9 x )$
3. $f(x) = ( 10 x+ 5 )^4$

5. Let $p(x) = k x e^{ c x }$, where $k$ and $c$ are parameters (i.e., constant numbers). What is $p'(x)$? What is $p'(\eta)$?