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Beliebt Rechnen >

(\partial)/(\partial y)(sin(x+2y+3z))

Lösung

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

Lösung

cos (x + 2 y + 3 z) \cdot 2

Schritte zur Lösung

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

Behandle

x, z

als Konstanten

Wende die Kettenregel an:

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

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

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

= cos (x + 2 y + 3 z) \cdot 2

Beliebte Beispiele

integral of 2cos^3(3x)

\int 2 cos^{3} (3 x) d x

integral from 0 to pi/2 of 28x^2sin(x)

\int_{0}^{\frac{π}{2}} 28 x^{2} sin (x) d x

derivative of sqrt(1-x^3)

\frac{d}{d x} (1 - x^{3})

derivative f(x)=(2x-5)^3

d er i v a t i v e f (x) = (2 x - 5)^{3}

slopeintercept (-3.5)(6.2)

s l o p e in t erce pt (- 3.5) (6.2)