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Beliebt Rechnen >

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

Lösung

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

Lösung

- 4 x sin (x^{2} + y^{2})

Schritte zur Lösung

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

Behandle

y

als Konstante

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= - 4 x sin (x^{2} + y^{2})

Beliebte Beispiele

derivative of sqrt(x+13)

\frac{d}{d x} (x + 13)

limit as x approaches infinity of ln|x|

x \to \infty lim (ln ∣ x ∣)

y^{''}+81y=0,y(0)=4,y^'(0)=7

y^{^{''}} + 81 y = 0, y (0) = 4, y^{^{'}} (0) = 7

implicit (dy)/(dx), y/x =0

im pl i c i t \frac{d y}{d x}, \frac{y}{x} = 0

limit as x approaches 0 of ln(x)sin(x)

x \to 0 lim (ln (x) sin (x))