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Beliebt Rechnen >

(\partial)/(\partial x)(xyz-tan(x+y+z))

Lösung

\frac{\partial}{\partial x} (x yz - tan (x + y + z))

Lösung

yz - sec^{2} (x + y + z)

Schritte zur Lösung

\frac{\partial}{\partial x} (x yz - tan (x + y + z))

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= yz - sec^{2} (x + y + z)

Beliebte Beispiele

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

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

5y^{''}+40y^'+80y=0

5 y^{^{''}} + 40 y^{^{'}} + 80 y = 0

limit as x approaches 9 of 5x+3

x \to 9 lim (5 x + 3)

\int x d x

y^{^{'}} + 2 y = 4 t