(d^2}{d{x}d{y}}(({z}(x,y))({x}^6-5{x}^4{y}^3+4{x)/y ^2))

解答

\frac{d ^{2}}{d x d y} ((z (x, y)) (x^{6} - 5 x^{4} y^{3} + 4 x y^{2}))

z (x, y) (0 - 60 y^{2} x^{3} + 8 y)

求解步骤

\frac{d ^{2}}{d x d y} ((z (x, y)) (x^{6} - 5 x^{4} y^{3} + 4 x y^{2}))

\frac{d}{d x} (z (x, y) (x^{6} - 5 x^{4} y^{3} + 4 x y^{2})) = z (x, y) (6 x^{5} - 20 x^{3} y^{3} + 4 y^{2})

= \frac{d}{d y} (z (x, y) (6 x^{5} - 20 x^{3} y^{3} + 4 y^{2}))

\frac{d}{d y} (z (x, y) (6 x^{5} - 20 x^{3} y^{3} + 4 y^{2})) = z (x, y) (0 - 60 y^{2} x^{3} + 8 y)

= z (x, y) (0 - 60 y^{2} x^{3} + 8 y)

e x p an d 213 \cdot 4

e x p an d \frac{3}{( s + 2 ) ( s - 6 )}

e x p an d (50 - 1)^{2}

e x p an d \frac{- 3 x ^{3} + x ^{2} - x - 3}{x ( x - 3 ) ( x ^{2} + 2 )}

e x p an d - 4 x^{2} + x - 8 + 2