erweitern piΔ(x+Δx)^2

Lösung

erweitern

π Δ (x + Δ x)^{2}

π Δ x^{2} + 2 Δ^{2} π x^{2} + Δ^{3} π x^{2}

Schritte zur Lösung

π Δ (x + Δ x)^{2}

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

= π Δ (x^{2} + 2Δ x^{2} + Δ^{2} x^{2})

Setze Klammern

= π Δ x^{2} + π Δ2Δ x^{2} + π Δ Δ^{2} x^{2}

= π Δ x^{2} + 2 π ΔΔ x^{2} + Δ^{2} π Δ x^{2}

Vereinfache

π Δ x^{2} + 2 π ΔΔ x^{2} + Δ^{2} π Δ x^{2} : π Δ x^{2} + 2 Δ^{2} π x^{2} + Δ^{3} π x^{2}

= π Δ x^{2} + 2 Δ^{2} π x^{2} + Δ^{3} π x^{2}

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

e x p an d (z - 2 + 6 i) (z - 2 - 6 i)

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

\frac{d ^{2}}{d x d y} ((f (x, y)) (2 x^{2} + 3 y^{2} - 4 x y + 2 y - 3))

e x p an d \frac{7 x - 3}{x ( x + 3 ) ( x - 1 )}