展开 derivative of 3x+y+z+d/(dz)(3(x-z))

解答

展开

\frac{d}{d x} (3 x + y + z) + \frac{d}{d z} (3 (x - z))

\frac{d}{d x} (3 x + y + z) + \frac{d}{d z} (3 x - 3 z)

求解步骤

\frac{d}{d x} (3 x + y + z) + \frac{d}{d z} (3 (x - z))

乘开

3 (x - z) : 3 x - 3 z

= \frac{d}{d x} (3 x + y + z) + \frac{d}{d z} (3 x - 3 z)

e x p an d - 4 x^{2} e^{y^{2} - x^{2}} (1 - x^{2} - y^{2})

e x p an d \frac{x ^{2} - 4 x + 1}{( x ^{2} + 1 ) ( x + 1 ) ^{2}}

e x p an d \frac{( x ^{2} + y ^{2} ) - ( 2 x )}{( x ^{2} + y ^{2} ) ^{2}}

e x p an d \frac{( ( x + 1 ) ^{2} )}{x}

e x p an d 3 sin (\frac{π}{4} (x - 5)) + 5