Find ddx[x3/2+x1/2]\frac{d}{dx}[x^{3/2} + x^{1/2}]dxd[x3/2+x1/2].
32x1/2+12x−1/2\frac{3}{2}x^{1/2} + \frac{1}{2}x^{-1/2}23x1/2+21x−1/2
32x1/2−12x−1/2\frac{3}{2}x^{1/2} - \frac{1}{2}x^{-1/2}23x1/2−21x−1/2
32x1/2+x−1/2\frac{3}{2}x^{1/2} + x^{-1/2}23x1/2+x−1/2
x1/2+12x−1/2x^{1/2} + \frac{1}{2}x^{-1/2}x1/2+21x−1/2