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Beliebt Rechnen >

derivative y=3cos(x)+7ex+ln(x^2+1)

Lösung

ableitung von

y = 3 cos (x) + 7 e x + ln (x^{2} + 1)

Lösung

- 3 sin (x) + 7 e + \frac{2 x}{x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} (3 cos (x) + 7 e x + ln (x^{2} + 1))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 cos (x)) + \frac{d}{d x} (7 e x) + \frac{d}{d x} (ln (x^{2} + 1))

\frac{d}{d x} (3 cos (x)) = - 3 sin (x)

\frac{d}{d x} (7 e x) = 7 e

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

= - 3 sin (x) + 7 e + \frac{2 x}{x ^{2} + 1}

Graph

Beliebte Beispiele

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d er i v a t i v e y = sin (x^{- 1})

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