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Beliebt Rechnen >

derivative of 3cosh(2x)

Lösung

\frac{d}{d x} (3 cosh (2 x))

Lösung

6 sinh (2 x)

Schritte zur Lösung

\frac{d}{d x} (3 cosh (2 x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (cosh (2 x))

Wende die Kettenregel an:

sinh (2 x) \frac{d}{d x} (2 x)

= sinh (2 x) \frac{d}{d x} (2 x)

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

= 3 sinh (2 x) \cdot 2

Vereinfache

= 6 sinh (2 x)

Graph

Beliebte Beispiele

limit as x approaches 1 of [2x]

x \to 1 lim ([2 x])

derivative of 5sin(x+xcos(x))

\frac{d}{d x} (5 sin (x) + x cos (x))

(d^2S)/(dx^2)=x

\frac{d ^{2} S}{d x ^{2}} = x

derivative of 3x^5-5x^3

\frac{d}{d x} (3 x^{5} - 5 x^{3})

integral from 2 to infinity of-7x^{-2}

\int_{2}^{\infty} - 7 x^{- 2} d x