erweitern (d^2)/(d^2x)(x^2+y^2=a^2)

Lösung

erweitern

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

x + \frac{y ^{2}}{x} = a^{2}

Schritte zur Lösung

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

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

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

\frac{d ^{2}}{d ^{2} x} x^{2} + \frac{d ^{2}}{d ^{2} x} y^{2} = a^{2}

Multipliziere aus

\frac{d ^{2}}{d ^{2} x} x^{2} + \frac{d ^{2}}{d ^{2} x} y^{2} : x + \frac{y ^{2}}{x}

x + \frac{y ^{2}}{x} = a^{2}

e x p an d (3, - \frac{π}{6}) 0 x

e x p an d \frac{e ^{- 2 s}}{s ( s ^{2} + 2 s + 5 )}

e x p an d a^{\frac{1}{3}} \cdot (a^{\frac{2}{3}} - a^{\frac{5}{3}})

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

e x p an d (2 t - 5)^{2} sin (t)