de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of cos((pix^7))

Lösung

\frac{d}{d x} (cos ((π x)^{7}))

Lösung

- sin (π^{7} x^{7}) \cdot 7 π^{7} x^{6}

Schritte zur Lösung

\frac{d}{d x} (cos ((π x)^{7}))

Vereinfache

cos ((π x)^{7}) : cos (π^{7} x^{7})

= \frac{d}{d x} (cos (π^{7} x^{7}))

Wende die Kettenregel an:

- sin (π^{7} x^{7}) \frac{d}{d x} (π^{7} x^{7})

= - sin (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}

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

Graph

Beliebte Beispiele

derivative of (x^3-3x^4)

\frac{d}{d x} ((x^{3} - 3 x)^{4})

integral of ln(15x)

\int ln (15 x) d x

y^{''}-20y^'+100y=0

y^{^{''}} - 20 y^{^{'}} + 100 y = 0

d y - (y - 1)^{2} d x = 0

derivative of (x^3-4x^2-6x+1(x^2-3x+1))

\frac{d}{d x} ((x^{3} - 4 x^{2} - 6 x + 1) (x^{2} - 3 x + 1))