Math 60
HW 4
Show Your Work
1. Calculate $\frac{d}{dx}((x+3)(2x-1))$ by (a) using the product rule and (b) expanding the product and then
differentiating. Verify that both methods give the same result.
In problems 2-4, find the derivative of each function respect to x.
2. f(x) = (3x² + 5)¹⁰
3. g(x) = (4x + 1)³(5x + 2)⁶
4. k(x) = $\frac{3x-1}{x+2}$
5. If f(x) = $\sqrt[4]{x}$, (a) find the domain, (b) find f'(x), and (c) find at which point
f(x) is not differentiable.