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Beliebt Rechnen >

derivative of (ln(x+1)^2-e^{x^2})

Lösung

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

Lösung

\frac{2 ln ( x + 1 )}{x + 1} - e^{x^{2}} \cdot 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (e^{x^{2}}) = e^{x^{2}} \cdot 2 x

= \frac{2 ln ( x + 1 )}{x + 1} - e^{x^{2}} \cdot 2 x

Graph

Beliebte Beispiele

integral of |4y+1|

\int ∣ 4 y + 1 ∣ d y

y^'+7y=t+e^{-6t}

y^{^{'}} + 7 y = t + e^{- 6 t}

2 x d x + d y = 0

sum from n=0 to infinity of 5(0.7)^{n-1}

n = 0 \sum \infty 5 (0.7)^{n - 1}

integral of e^{4x}

\int e^{4 x} d x