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Beliebt Rechnen >

derivative cos((pix)^6)

Lösung

ableitung von

cos ((π x)^{6})

Lösung

- sin (π^{6} x^{6}) \cdot 6 π^{6} x^{5}

Schritte zur Lösung

\frac{d}{d x} (cos ((π x)^{6}))

Vereinfache

cos ((π x)^{6}) : cos (π^{6} x^{6})

= \frac{d}{d x} (cos (π^{6} x^{6}))

Wende die Kettenregel an:

- sin (π^{6} x^{6}) \frac{d}{d x} (π^{6} x^{6})

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

\frac{d}{d x} (π^{6} x^{6}) = 6 π^{6} x^{5}

= - sin (π^{6} x^{6}) \cdot 6 π^{6} x^{5}

Graph

Beliebte Beispiele

derivative of xsqrt(x^2-16)

\frac{d}{d x} (x x^{2} - 16)

inverselaplace (10)/(s^2+s+10)

in v erse l a pl a ce \frac{10}{s ^{2} + s + 10}

derivative of sqrt(e^{2x)+1}

\frac{d}{d x} (e^{2 x} + 1)

tangent f(x)= 3/(x+1),\at x=7

t an g e n t f (x) = \frac{3}{x + 1}, at x = 7

2y^{''}+8y^'+80y=60cos(8t)

2 y^{^{''}} + 8 y^{^{'}} + 80 y = 60 cos (8 t)