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Beliebt Rechnen >

(\partial)/(\partial x)(cos(x)sin(x)-xy)

Lösung

\frac{\partial}{\partial x} (cos (x) sin (x) - x y)

Lösung

cos (2 x) - y

Schritte zur Lösung

\frac{\partial}{\partial x} (cos (x) sin (x) - x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (cos (x) sin (x)) = cos (2 x)

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

= cos (2 x) - y

Beliebte Beispiele

(\partial)/(\partial x)(4)

\frac{\partial}{\partial x} (4)

derivative ax+b

d er i v a t i v e a x + b

tangent ((3x))/((1+x^2))

t an g e n t \frac{( 3 x )}{( 1 + x ^{2} )}

integral of tan(5v)sec(5v)

\int tan (5 v) sec (5 v) d v

(dy)/(dt)=20-y/(230+t)

\frac{d y}{d t} = 20 - \frac{y}{230 + t}