The derivative of the second function is:
- Rewrite the function using exponents: y = x^(-5) - 3x^(1/3) + 2x^(-1/2) + 2.
- Differentiate each term using the power rule: -5x^(-6) - 3*(1/3)x^(-2/3) + 2*(-1/2)x^(-3/2) + 0.
- Simplify the expression: -5x^(-6) - x^(-2/3) - x^(-3/2).
Result: -5x^(-6) - x^(-2/3) - x^(-3/2)