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Beliebt Rechnen >

derivative of a^7+(cos(x)^7)

Lösung

\frac{d}{d x} (a^{7} + (cos (x))^{7})

Lösung

- 7 cos^{6} (x) sin (x)

Schritte zur Lösung

\frac{d}{d x} (a^{7} + (cos (x))^{7})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (a^{7}) + \frac{d}{d x} ((cos (x))^{7})

\frac{d}{d x} (a^{7}) = 0

\frac{d}{d x} ((cos (x))^{7}) = - 7 cos^{6} (x) sin (x)

= 0 - 7 cos^{6} (x) sin (x)

Vereinfache

= - 7 cos^{6} (x) sin (x)

Graph

Beliebte Beispiele

fläche x=y^2+4y-22,x=3y+8

a re a x = y^{2} + 4 y - 22, x = 3 y + 8

derivative x-tan(x)

d er i v a t i v e x - tan (x)

x(x+y)(dy)/(dx)=y(x-y)

x (x + y) \frac{d y}{d x} = y (x - y)

derivative sqrt(4x+9)

d er i v a t i v e 4 x + 9

sum from n=1 to infinity of 8-7(0.8)^n

n = 1 \sum \infty 8 - 7 (0.8)^{n}