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

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

y^{'} (x) (3 x^{2} + 2 y) : 3 x^{2} y^{'} (x) + 2 y^{'} (x) y

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

e x p an d cos (θ) (tan (θ) - sec (θ))

e x p an d (\times + 3) (x^{2} - 3 x + 9)

e x p an d (y - x y^{2} + 2 y e^{x}) d x + (x - x^{2} y + 2 e^{x}) d y

e x p an d a ln (\frac{am}{( a + b ) t}) + b ln (\frac{bm}{( a + b ) t})

e x p an d \frac{( 8 ( a ^{2} - s ^{2} ) )}{( a ^{2} + s ^{2} ) ^{2}}