(\partial)/(\partial y)(e^{xyz})

Lösung

\frac{\partial}{\partial y} (e^{x yz})

e^{x yz} x z

Schritte zur Lösung

\frac{\partial}{\partial y} (e^{x yz})

Behandle

x, z

als Konstanten

Wende die Kettenregel an:

e^{x yz} \frac{\partial}{\partial y} (x yz)

= e^{x yz} \frac{\partial}{\partial y} (x yz)

\frac{\partial}{\partial y} (x yz) = x z

= e^{x yz} x z

d r = e (r sin (θ) d θ - cos (θ) d r)

\frac{\partial}{\partial y} (1 + x^{4} + y^{3})

\int (3 x + 2)^{\frac{3}{2}} d x

\frac{d}{d x} (\frac{( 1 - sec ( x ) )}{tan ( x )})

s im pl i f y x + \frac{1}{x ^{2}} + x^{3}