(\partial)/(\partial x)(arctan(x+2y))

Lösung

\frac{\partial}{\partial x} (arctan (x + 2 y))

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

Schritte zur Lösung

\frac{\partial}{\partial x} (arctan (x + 2 y))

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (x + 2 y) = 1

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

Vereinfache

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

\int \frac{1}{x} ln (x^{2}) d x

x \to 18 lim (\frac{1}{x - 18})

x \to 1 lim (f (x) (5 - x))

x \to 2 lim (5 x^{3} - 3 x + 1)

\frac{d y}{d t} - 2 t y = 6 t^{2} e^{t^{2}}