erweitern ((1-cosh(x))^2)/h

Lösung

erweitern

\frac{( 1 - cosh ( x ) ) ^{2}}{h}

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

Schritte zur Lösung

\frac{( 1 - cosh ( x ) ) ^{2}}{h}

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

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

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

e x p an d \frac{( x ^{2} + 3 x )}{( 3 x + 1 ) ^{2}}

e x p an d (1, 1) y (- 1, - 1)

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

e x p an d (x + d x) (cos (y))

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