derivative y=sin((pix)^4)

Lösung

ableitung von

y = sin ((π x)^{4})

cos (π^{4} x^{4}) \cdot 4 π^{4} x^{3}

Schritte zur Lösung

\frac{d}{d x} (sin ((π x)^{4}))

Vereinfache

sin ((π x)^{4}) : sin (π^{4} x^{4})

= \frac{d}{d x} (sin (π^{4} x^{4}))

Wende die Kettenregel an:

cos (π^{4} x^{4}) \frac{d}{d x} (π^{4} x^{4})

= cos (π^{4} x^{4}) \frac{d}{d x} (π^{4} x^{4})

\frac{d}{d x} (π^{4} x^{4}) = 4 π^{4} x^{3}

= cos (π^{4} x^{4}) \cdot 4 π^{4} x^{3}

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