erweitern 3xy^2y'(x)+y^3(1+x^6y^2)

Lösung

erweitern

3 x y^{2} y^{'} (x) + y^{3} (1 + x^{6} y^{2})

3 x y^{2} y' (x) + y^{3} + x^{6} y^{5}

Schritte zur Lösung

3 x y^{2} y^{'} (x) + y^{3} (1 + x^{6} y^{2})

Multipliziere aus

y^{3} (1 + x^{6} y^{2}) : y^{3} + x^{6} y^{5}

= 3 x y^{2} y^{'} (x) + y^{3} + x^{6} y^{5}

e x p an d (x + Δ x)^{10}

e x p an d \frac{5 x ^{2} + 8 x - 7}{( x + 2 ) ( x ^{2} + x + 1 )}

e x p an d \frac{8}{15 ( s - 2 )}

\frac{\partial}{\partial y} ((z) (x^{2} + y^{2} + z^{2}))

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