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Beliebt Rechnen >

derivative f(x)=4x^7-5cos(x)

Lösung

ableitung von

f (x) = 4 x^{7} - 5 cos (x)

Lösung

28 x^{6} + 5 sin (x)

Schritte zur Lösung

\frac{d}{d x} (4 x^{7} - 5 cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{7}) - \frac{d}{d x} (5 cos (x))

\frac{d}{d x} (4 x^{7}) = 28 x^{6}

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

= 28 x^{6} - (- 5 sin (x))

Vereinfache

= 28 x^{6} + 5 sin (x)

Graph

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