derivative of cos(xy^2)

Lösung

\frac{d}{d x} (cos (x y^{2}))

- sin (x y^{2}) (y^{2} + 2 x y \frac{d y}{d x})

Schritte zur Lösung

\frac{d}{d x} (cos (x y^{2}))

Wende die Kettenregel an:

- sin (x y^{2}) \frac{d}{d x} (x y^{2})

= - sin (x y^{2}) \frac{d}{d x} (x y^{2})

\frac{d}{d x} (x y^{2}) = y^{2} + 2 x y \frac{d y}{d x}

= - sin (x y^{2}) (y^{2} + 2 x y \frac{d y}{d x})

x \to 0 lim (x + y)

d er i v a t i v e y = \frac{3 + 5 x - 8 x}{x}

\frac{d}{d x} (\frac{e ^{3 x}}{x ^{15}})

\int \frac{ln ( 9 x )}{x} d x

\int (1 - x) (1 - 2 x) (1 - 3 x) d x