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Beliebt Rechnen >

derivative of cosh(x-(2e^{(-0.3x)}))

Lösung

\frac{d}{d x} (cosh (x) - (2 e^{(- 0.3 x)}))

Lösung

sinh (x) + 0.6 e^{- 0.3 x}

Schritte zur Lösung

\frac{d}{d x} (cosh (x) - (2 e^{(- 0.3 x)}))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cosh (x)) - \frac{d}{d x} (2 e^{- 0.3 x})

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

\frac{d}{d x} (2 e^{- 0.3 x}) = - 0.6 e^{- 0.3 x}

= sinh (x) - (- 0.6 e^{- 0.3 x})

Vereinfache

= sinh (x) + 0.6 e^{- 0.3 x}

Graph

Beliebte Beispiele

d/(dy)(e^x*sin(y))

\frac{d}{d y} (e^{x} \cdot sin (y))

d er i v a t i v e 4 y

y^{''}-10y^'+25y=0

y^{^{''}} - 10 y^{^{'}} + 25 y = 0

sum from n=0 to infinity of (2^n)/(n+1)

n = 0 \sum \infty \frac{2 ^{n}}{n + 1}

derivative s/(s^2+1)

d er i v a t i v e \frac{s}{s ^{2} + 1}