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Beliebt Rechnen >

derivative a^8+cos^8(x)

Lösung

ableitung von

a^{8} + cos^{8} (x)

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (a^{8} + cos^{8} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (a^{8}) + \frac{d}{d x} (cos^{8} (x))

\frac{d}{d x} (a^{8}) = 0

\frac{d}{d x} (cos^{8} (x)) = - 8 cos^{7} (x) sin (x)

= 0 - 8 cos^{7} (x) sin (x)

Vereinfache

= - 8 cos^{7} (x) sin (x)

Graph

Beliebte Beispiele

integral of (3x^5-2x^3+5x^2-2)/(x^3+1)

\int \frac{3 x ^{5} - 2 x ^{3} + 5 x ^{2} - 2}{x ^{3} + 1} d x

limit as x approaches 4 of (3x)/4+2

x \to 4 lim (\frac{3 x}{4} + 2)

derivative of (x^2-3^3)

\frac{d}{d x} ((x^{2} - 3)^{3})

derivative f(x)=(x-2)(5x+3)

d er i v a t i v e f (x) = (x - 2) (5 x + 3)

tangent f(x)= 1/x ,\at x=-1

t an g e n t f (x) = \frac{1}{x}, at x = - 1