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

Lösung

\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)

Schritte zur Lösung

\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)

e x p an d 3 (7 - 6)

e x p an d - \frac{1}{( s ^{2} + 1 ) ( s ^{2} + 2 s + 3 )}

e x p an d \frac{5 ( 5 - 7 )}{3}

e x p an d (3 + 6) (6 + 5)

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