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Beliebt Rechnen >

derivative y=x+cos(x)

Lösung

ableitung von

y = x + cos (x)

Lösung

1 - sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} + \frac{d}{d x} (cos (x))

\frac{d x}{d x} = 1

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

= 1 - sin (x)

Graph

Beliebte Beispiele

derivative of x/1

\frac{d}{d x} (\frac{x}{1})

derivative f(x)=(12x)/(1-x)

d er i v a t i v e f (x) = \frac{12 x}{1 - x}

(dy)/(dx)=y(1-y^2)

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

derivative f(x)= 1/(\sqrt[3]{x^2-1)}

d er i v a t i v e f (x) = \frac{1}{3 x ^{2} - 1}

(\partial)/(\partial x)(ysin(3x))

\frac{\partial}{\partial x} (y sin (3 x))