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Beliebt Rechnen >

(\partial)/(\partial y)(e^{-x}sin(yz))

Lösung

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

Lösung

e^{- x} cos (yz) z

Schritte zur Lösung

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

Behandle

x, z

als Konstanten

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

cos (yz) \frac{\partial}{\partial y} (yz)

= cos (yz) \frac{\partial}{\partial y} (yz)

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

= e^{- x} cos (yz) z

Beliebte Beispiele

derivative of (x^2/((x^2-1)))

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

tangent f(x)=4-3ln(x),\at x=1

t an g e n t f (x) = 4 - 3 ln (x), at x = 1

derivative y=6+4sqrt(x)csc(x)

d er i v a t i v e y = 6 + 4 x csc (x)

sum from n=1 to infinity of 3/((4n^2-1))

n = 1 \sum \infty \frac{3}{( 4 n ^{2} - 1 )}

x y^{^{'}} = 2 y