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Beliebt Rechnen >

(\partial)/(\partial x)(xy+xcos(x))

Lösung

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

Lösung

y + cos (x) - x sin (x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= y + cos (x) - x sin (x)

Beliebte Beispiele

x^{''}+9x-27=0,x(0)=4,x^'(0)=6

x^{^{''}} + 9 x - 27 = 0, x (0) = 4, x^{^{'}} (0) = 6

integral of 1/(12y)

\int \frac{1}{12 y} d y

(\partial)/(\partial y)((y-t)/(5y+2t))

\frac{\partial}{\partial y} (\frac{y - t}{5 y + 2 t})

laplacetransform t-pi

l a pl a ce t r an s f or m t - π

integral of (x^2)/((x^2+1)^2)

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