Section 2-2: Partial Derivatives - Assignment Problems
For problems 1 - 13 find all the 1st order partial derivatives.
1. $f(x, y, z) = x^3 \sqrt{y} + 4z^3y^2 - xyz + x^2 - \sqrt[3]{z^5}$
2. $W(a, b, c, d) = a^2 + b^3 - c^2d^4 - 5a^3c - d^6b^2a$
3. $A(p, t, u) = \frac{1}{pt^2} - \frac{t^3}{u^2} + \frac{4up}{t^4}$
4. $g(x, y, z) = \sqrt{x^2 + z^{-2}} + sin(xy - x^2)$
5. $f(s, t) = cos(se^{t^2}) + cos(s + e^{t^2})$