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Beliebt Rechnen >

derivative of e^{x^2}-cos(x)

Lösung

\frac{d}{d x} (e^{x^{2}} - cos (x))

Lösung

2 e^{x^{2}} x + sin (x)

Schritte zur Lösung

\frac{d}{d x} (e^{x^{2}} - cos (x))

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (cos (x)) = - sin (x)

= e^{x^{2}} \cdot 2 x - (- sin (x))

Vereinfache

= 2 e^{x^{2}} x + sin (x)

Graph

Beliebte Beispiele

integral of 4/(x^5)

\int \frac{4}{x ^{5}} d x

derivative of (4x+6/(x+3))

\frac{d}{d x} (\frac{4 x + 6}{x + 3})

derivative of 3^xln(x)

\frac{d}{d x} (3^{x} ln (x))

integral of (sqrt(4x^2-25))/(x^3)

\int \frac{4 x ^{2} - 25}{x ^{3}} d x

derivative of 3e^x+(x-2^2)

\frac{d}{d x} (3 e^{x} + (x - 2)^{2})