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

Lösung

erweitern

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

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

Schritte zur Lösung

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

(x + 1)^{2} = x^{2} + 2 x + 1

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

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

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

e x p an d (x + \frac{3}{4})^{2}

e x p an d 2 - (sin (x) + cos (y)) 2 - (cos (x) + sin (y)) 2

s im pl i f y (x + 2 - 3) (x + 2 + 3)