(\partial)/(\partial x)(sin(x+xy+z^2))

Lösung

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

cos (x + x y + z^{2}) (y + 1)

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

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

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

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

= cos (x + x y + z^{2}) (y + 1)

\frac{\partial}{\partial x} (y^{4} cos (5 x))

\int_{5}^{8} \frac{1}{9 + ( x - 5 ) ^{2}} d x

n = 1 \sum \infty 2^{n + 1} - 2^{n}

\frac{d}{d x} (\frac{( 4 x - 2 ) ^{4}}{( - 5 x + 1 ) ^{5}})

\int (\frac{x ^{2} - 4}{x}) d x