derivative y= 1/(cos(x/2))

Lösung

ableitung von

y = \frac{1}{cos ( \frac{x}{2} )}

sec (\frac{x}{2}) tan (\frac{x}{2}) \frac{1}{2}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{cos ( \frac{x}{2} )})

Vereinfache

\frac{1}{cos ( \frac{x}{2} )} : sec (\frac{x}{2})

= \frac{d}{d x} (sec (\frac{x}{2}))

Wende die Kettenregel an:

sec (\frac{x}{2}) tan (\frac{x}{2}) \frac{d}{d x} (\frac{x}{2})

= sec (\frac{x}{2}) tan (\frac{x}{2}) \frac{d}{d x} (\frac{x}{2})

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= sec (\frac{x}{2}) tan (\frac{x}{2}) \frac{1}{2}

\int 216 x^{2} cos (6 x) d x

\frac{\partial}{\partial y} (x^{\frac{2}{3}} y^{\frac{1}{3}})

x \to 3 lim (- \frac{3}{7} x + \frac{4}{11})

d er i v a t i v e x^{2} e^{x} - 2 x e^{x} + 2 e^{x}

y^{^{''}} - 10 y^{^{'}} + 26 y = 4