erweitern 2(2xy^2+2y derivative of (yx^2))

Lösung

erweitern

2 (2 x y^{2} + 2 y \frac{d}{d x} ((y) x^{2}))

4 x y^{2} + 4 y \frac{d}{d x} (x^{2} y)

Schritte zur Lösung

2 (2 x y^{2} + 2 y \frac{d}{d x} ((y) x^{2}))

= 2 (2 x y^{2} + 2 y \frac{d}{d x} (x^{2} (y)))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = 2, b = 2 x y^{2}, c = 2 y \frac{d}{d x} ((y) x^{2})

= 2 \cdot 2 x y^{2} + 2 \cdot 2 y \frac{d}{d x} ((y) x^{2})

= 2 \cdot 2 x y^{2} + 2 \cdot 2 y \frac{d}{d x} (x^{2} (y))

Vereinfache

2 \cdot 2 x y^{2} + 2 \cdot 2 y \frac{d}{d x} (x^{2} (y)) : 4 x y^{2} + 4 y \frac{d}{d x} (x^{2} y)

= 4 x y^{2} + 4 y \frac{d}{d x} (x^{2} y)

e x p an d \frac{( x ^{'} - 3 2 ) ^{2}}{16}

s im pl i f y (csc (x) + 1) l e f t (csc (x) - 1) a n^{2} x

e x p an d (1 + 9 - x^{2}) d x

e x p an d 2 (2 x + 3 = 21)

e x p an d \frac{( 7 a - 14 )}{2 ( a - 2 b )}