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Beliebt Rechnen >

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

Lösung

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

Lösung

cos (x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (y) = 0

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

= 0 + cos (x)

Vereinfache

= cos (x)

Beliebte Beispiele

derivative 8e^{3x}

d er i v a t i v e 8 e^{3 x}

integral of+(2x+1)/((x+5)^3)

\int + \frac{2 x + 1}{( x + 5 ) ^{3}} d x

derivative of 1/(\sqrt[3]{x^2+x+3})

\frac{d}{d x} (\frac{1}{3 x ^{2} + x + 3})

d/(dy)(x-y^3+y^2sin(x))

\frac{d}{d y} (x - y^{3} + y^{2} sin (x))

derivative x^3+5

d er i v a t i v e x^{3} + 5