Differentiate the following: y = 3x^(1/3) + 2

Answer: dy/dx = x^-2/3Explanation: When differentiating, we bring the power to the front and subtract 1 from the power to get the new power. So the first term becomes (3 x 1/3)x^{(1/3 - 1)} = x^-2/3. Also, any constant terms will vanish when we differentiate, so the +2 vanishes, leaving us with dy/dx = x^-2/3