Find dydx\frac{dy}{dx}dxdy for y=6x2/3−9x1/3y = 6x^{2/3} - 9x^{1/3}y=6x2/3−9x1/3.
4x−1/3−3x−2/34x^{-1/3} - 3x^{-2/3}4x−1/3−3x−2/3
4x1/3−3x−1/34x^{1/3} - 3x^{-1/3}4x1/3−3x−1/3
4x−1/3+3x−2/34x^{-1/3} + 3x^{-2/3}4x−1/3+3x−2/3
4x2/3−3x1/34x^{2/3} - 3x^{1/3}4x2/3−3x1/3