(\partial)/(\partial x)(sin(x+y+z))

Lösung

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

cos (x + y + z)

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

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

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

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

= cos (x + y + z) \cdot 1

Vereinfache

= cos (x + y + z)

\int \frac{x + 16}{x ^{2} + 22 x + 125} d x

\int 9 cos^{2} (x t a) n^{3} x d x

\frac{\partial}{\partial x} (ln (x + 2 y + 3 z))

x \to + 0 + lim ((1 + x)^{\frac{2}{x}})

ma c l a u r in \frac{( 2 + x )}{1 - x}