derivative of cos((pix^9))

Lösung

\frac{d}{d x} (cos ((π x)^{9}))

- sin (π^{9} x^{9}) \cdot 9 π^{9} x^{8}

Schritte zur Lösung

\frac{d}{d x} (cos ((π x)^{9}))

Vereinfache

cos ((π x)^{9}) : cos (π^{9} x^{9})

= \frac{d}{d x} (cos (π^{9} x^{9}))

Wende die Kettenregel an:

- sin (π^{9} x^{9}) \frac{d}{d x} (π^{9} x^{9})

= - sin (π^{9} x^{9}) \frac{d}{d x} (π^{9} x^{9})

\frac{d}{d x} (π^{9} x^{9}) = 9 π^{9} x^{8}

= - sin (π^{9} x^{9}) \cdot 9 π^{9} x^{8}

\frac{\partial}{\partial x} (x^{0.1})

\int (1 - x)^{2} x d x

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = 7, y^{^{'}} (0) = 0

\int \frac{x + 3}{3 x ^{2} + 6 x} d x

d er i v a t i v e - 1.5 sin (1.5 x)