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Beliebt Rechnen >

derivative 5sin(x-0.64)

Lösung

ableitung von

5 sin (x - 0.64)

Lösung

5 (0.80209 \dots cos (x) + 0.59719 \dots sin (x))

Schritte zur Lösung

\frac{d}{d x} (5 sin (x - 0.64))

Vereinfache

5 sin (x - 0.64) : 5 (0.80209 \dots sin (x) - 0.59719 \dots cos (x))

= \frac{d}{d x} (5 (0.80209 \dots sin (x) - 0.59719 \dots cos (x)))

Entferne die Konstante:

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

= 5 \frac{d}{d x} (0.80209 \dots sin (x) - 0.59719 \dots cos (x))

Wende die Summen-/Differenzregel an:

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

= 5 (\frac{d}{d x} (0.80209 \dots sin (x)) - \frac{d}{d x} (0.59719 \dots cos (x)))

\frac{d}{d x} (0.80209 \dots sin (x)) = 0.80209 \dots cos (x)

\frac{d}{d x} (0.59719 \dots cos (x)) = - 0.59719 \dots sin (x)

= 5 (0.80209 \dots cos (x) - (- 0.59719 \dots sin (x)))

Vereinfache

= 5 (0.80209 \dots cos (x) + 0.59719 \dots sin (x))

Graph

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