(\partial)/(\partial x)(ln(tan(x+y)))

Lösung

\frac{\partial}{\partial x} (ln (tan (x + y)))

sec^{2} (x + y) cot (x + y)

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (tan (x + y)))

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{tan ( x + y )} \frac{\partial}{\partial x} (tan (x + y))

= \frac{1}{tan ( x + y )} \frac{\partial}{\partial x} (tan (x + y))

\frac{\partial}{\partial x} (tan (x + y)) = sec^{2} (x + y)

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

Vereinfache

\frac{1}{tan ( x + y )} sec^{2} (x + y) : sec^{2} (x + y) cot (x + y)

= sec^{2} (x + y) cot (x + y)

\int_{1}^{- 1} (3 e^{x}) d x

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

in v erse l a pl a ce \frac{1}{( s + 3 ) ^{2} + 4}

x^{2} y^{^{'}} - 2 x^{3} e^{- \frac{1}{x}} = y

\int \frac{sin ( x )}{cos ( 2 x )} d x