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Beliebt Rechnen >

derivative y=cos((pix)^8)

Lösung

ableitung von

y = cos ((π x)^{8})

Lösung

- sin (π^{8} x^{8}) \cdot 8 π^{8} x^{7}

Schritte zur Lösung

\frac{d}{d x} (cos ((π x)^{8}))

Vereinfache

cos ((π x)^{8}) : cos (π^{8} x^{8})

= \frac{d}{d x} (cos (π^{8} x^{8}))

Wende die Kettenregel an:

- sin (π^{8} x^{8}) \frac{d}{d x} (π^{8} x^{8})

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

\frac{d}{d x} (π^{8} x^{8}) = 8 π^{8} x^{7}

= - sin (π^{8} x^{8}) \cdot 8 π^{8} x^{7}

Graph

Beliebte Beispiele

tangent y=3e^xcos(x),(0,3)

t an g e n t y = 3 e^{x} cos (x), (0, 3)

4y^{''}+12y^'+9y=0

4 y^{^{''}} + 12 y^{^{'}} + 9 y = 0

derivative f(x)= 1/2 x^8

d er i v a t i v e f (x) = \frac{1}{2} x^{8}

steigung (1.5)(2.8)

s l o p e (1.5) (2.8)

derivative x^4-2x^4

d er i v a t i v e x^{4} - 2 x^{4}