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Beliebt Rechnen >

derivative sin(x)+ln(x^2)+e^2x

Lösung

ableitung von

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

Lösung

cos (x) + \frac{2}{x} + e^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

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

Graph

Beliebte Beispiele

derivative 6x^{1/3}

d er i v a t i v e 6 x^{\frac{1}{3}}

derivative ((x+2)^2)/3

d er i v a t i v e \frac{( x + 2 ) ^{2}}{3}

derivative (5x+2)^7

d er i v a t i v e (5 x + 2)^{7}

d/(dt)(t^3+7t^2+24t+12)

\frac{d}{d t} (t^{3} + 7 t^{2} + 24 t + 12)

derivative y=3x^{10}

d er i v a t i v e y = 3 x^{10}