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Beliebt Rechnen >

(\partial)/(\partial x)(2sin(x^2+y^2))

Lösung

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

Lösung

4 x cos (x^{2} + y^{2})

Schritte zur Lösung

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

Behandle

y

als Konstante

Entferne die Konstante:

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

= 2 \frac{\partial}{\partial x} (sin (x^{2} + y^{2}))

Wende die Kettenregel an:

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

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

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

= 2 cos (x^{2} + y^{2}) \cdot 2 x

Vereinfache

= 4 x cos (x^{2} + y^{2})

Beliebte Beispiele

d/(dθ)(8sin(θ))

\frac{d}{d θ} (8 sin (θ))

integral of 17x^3e^x

\int 17 x^{3} e^{x} d x

derivative sqrt(-5+9x)

d er i v a t i v e - 5 + 9 x

(dy)/(dt)=2ty^2

\frac{d y}{d t} = 2 t y^{2}

integral of (x-2pi)

\int (x - 2 π) d x