erweitern (1-x^2) derivative of+2y

Lösung

erweitern

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

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

Schritte zur Lösung

(1 - x^{2}) \frac{d}{d x} (2 y)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = \frac{d}{d x} (2 y), b = 1, c = x^{2}

= \frac{d}{d x} (2 y) 1 - \frac{d}{d x} (2 y) x^{2}

= 1 \frac{d}{d x} (2 y) - x^{2} \frac{d}{d x} (2 y)

Multipliziere:

1 \frac{d}{d x} (2 y) = \frac{d}{d x} (2 y)

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

s im pl i f y (x + \frac{1}{2}) (x - \frac{11}{2})

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

s im pl i f y (a - \frac{1}{a}) (a + \frac{1}{a})

e x p an d - 2 (3 - 5)

e x p an d 3 (10 - 5)