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Beliebt Rechnen >

(\partial)/(\partial x)(cos(x+5y))

Lösung

\frac{\partial}{\partial x} (cos (x + 5 y))

Lösung

- sin (x + 5 y)

Schritte zur Lösung

\frac{\partial}{\partial x} (cos (x + 5 y))

Behandle

y

als Konstante

Wende die Kettenregel an:

- sin (x + 5 y) \frac{\partial}{\partial x} (x + 5 y)

= - sin (x + 5 y) \frac{\partial}{\partial x} (x + 5 y)

\frac{\partial}{\partial x} (x + 5 y) = 1

= - sin (x + 5 y) \cdot 1

Vereinfache

= - sin (x + 5 y)

Beliebte Beispiele

tangent (2x+5)(-x+2)

t an g e n t (2 x + 5) (- x + 2)

integral of (4x^3-x)/(6x^2-2x-1)

\int \frac{4 x ^{3} - x}{6 x ^{2} - 2 x - 1} d x

limit as x approaches 0 of ((3x^2-2x))/x

x \to 0 lim (\frac{( 3 x ^{2} - 2 x )}{x})

(dy)/(dx)=x^2(1+y^2)

\frac{d y}{d x} = x^{2} (1 + y^{2})

integral of (x^3)/(x^2-16)

\int \frac{x ^{3}}{x ^{2} - 16} d x