(\partial)/(\partial x)(({f}(x,y))(4y^3+2y))

Lösung

\frac{\partial}{\partial x} ((f (x, y)) (4 y^{3} + 2 y))

(4 y^{3} + 2 y) \frac{\partial}{\partial x} (f (x, y))

Schritte zur Lösung

\frac{\partial}{\partial x} ((f (x, y)) (4 y^{3} + 2 y))

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= (4 y^{3} + 2 y) \frac{\partial}{\partial x} (f (x, y))

e x p an d \frac{s ^{2} + 2 - e ^{- (π s)}}{s ( s ^{2} + 9 )}

e x p an d \frac{( cos ( 2 x ) - e ^{- 2 x^{2}} )}{( sin ( x ) ) ^{4}}

s im pl i f y \frac{k ( s + 0.5 )}{( s + 2 ) ^{2} ( s + 1 ) + k ( s + 0.5 )}

e x p an d 3 sin (θ^{2}) - (1 + sin (θ))^{2} d θ

e x p an d \frac{2 s - 4}{s ( s + 1 ) ( s ^{2} + 1 )}