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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}{x + 1} - e^{x^{2}} \cdot 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

integral of 2/(4+x^2)

\int \frac{2}{4 + x ^{2}} d x

fläche y= 1/(sqrt(x)),y=x,y=2

a re a y = \frac{1}{x}, y = x, y = 2

integral of 2^xln(2)

\int 2^{x} ln (2) d x

integral of xye^z

\int x y e^{z} d z

(dy)/(dx)=k(y-80)

\frac{d y}{d x} = k (y - 80)