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

解

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

z (x, y) (2 y^{2} - 0 + 36 x^{2} + 0)

解答ステップ

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

\frac{d}{d x} (z (x, y) (x^{2} y^{2} - y^{3} + 3 x^{4} + 5)) = z (x, y) (2 x y^{2} - 0 + 12 x^{3} + 0)

= \frac{d}{d x} (z (x, y) (2 x y^{2} - 0 + 12 x^{3} + 0))

\frac{d}{d x} (z (x, y) (2 x y^{2} - 0 + 12 x^{3} + 0)) = z (x, y) (2 y^{2} - 0 + 36 x^{2} + 0)

= z (x, y) (2 y^{2} - 0 + 36 x^{2} + 0)