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Beliebt Rechnen >

derivative sin((pix)^7)

Lösung

ableitung von

sin ((π x)^{7})

Lösung

cos (π^{7} x^{7}) \cdot 7 π^{7} x^{6}

Schritte zur Lösung

\frac{d}{d x} (sin ((π x)^{7}))

Vereinfache

sin ((π x)^{7}) : sin (π^{7} x^{7})

= \frac{d}{d x} (sin (π^{7} x^{7}))

Wende die Kettenregel an:

cos (π^{7} x^{7}) \frac{d}{d x} (π^{7} x^{7})

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

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

= cos (π^{7} x^{7}) \cdot 7 π^{7} x^{6}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(9x+2y)

\frac{\partial}{\partial x} (9 x + 2 y)

fläche y=8x-12,y=x^2,x=1

a re a y = 8 x - 12, y = x^{2}, x = 1

limit as x approaches 0 of (tan(x))/(2x)

x \to 0 lim (\frac{tan ( x )}{2 x})

laplacetransform t+29

l a pl a ce t r an s f or m t + 29

derivative sqrt(y)-7y

d er i v a t i v e y - 7 y