(\partial ^2)/(\partial x^2)((y)(4x^3+3x^2z+5xz^2+6z^3+20))

Lösung

\frac{\partial ^{2}}{\partial x ^{2}} ((y) (4 x^{3} + 3 x^{2} z + 5 x z^{2} + 6 z^{3} + 20))

y (24 x + 6 z)

Schritte zur Lösung

\frac{\partial ^{2}}{\partial x ^{2}} ((y) (4 x^{3} + 3 x^{2} z + 5 x z^{2} + 6 z^{3} + 20))

\frac{\partial}{\partial x} (y (4 x^{3} + 3 x^{2} z + 5 x z^{2} + 6 z^{3} + 20)) = y (12 x^{2} + 6 x z + 5 z^{2})

= \frac{\partial}{\partial x} (y (12 x^{2} + 6 x z + 5 z^{2}))

\frac{\partial}{\partial x} (y (12 x^{2} + 6 x z + 5 z^{2})) = y (24 x + 6 z)

= y (24 x + 6 z)

e x p an d 3 (3 + ln (2 + 1))

e x p an d \frac{8}{( 1 + x ^{2} ) ^{2}}

e x p an d (c) (- j f - j f a - j - e j - j^{2} c - ja + e jb)

e x p an d \frac{7 \cdot 2 ^{(k + 1)} + ( - 1 ) ^{(k + 2)}}{3}

e x p an d (- 3, 2, 2) (1 - t) + (1, - 2, 5) t