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Beliebt Rechnen >

derivative of 2sqrt(cos(x))

Lösung

\frac{d}{d x} (2 cos (x))

Lösung

2 \cdot \frac{1}{2 cos ( x )} (- sin (x))

Schritte zur Lösung

\frac{d}{d x} (2 cos (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (cos (x))

Wende die Kettenregel an:

\frac{1}{2 cos ( x )} \frac{d}{d x} (cos (x))

= \frac{1}{2 cos ( x )} \frac{d}{d x} (cos (x))

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

= 2 \cdot \frac{1}{2 cos ( x )} (- sin (x))

Graph

Beliebte Beispiele

derivative of (sin(x^2+x^2)(cos(x)-3x))

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

derivative f(x)=\sqrt[4]{x^7}

d er i v a t i v e f (x) = 4 x^{7}

(dy}{dx}=\frac{y^2)/x

\frac{d y}{d x} = \frac{y ^{2}}{x}

integral of 4x^3e^{-5x}

\int 4 x^{3} e^{- 5 x} d x

inverselaplace 1/((s+1)(s^2+2s+10))

in v erse l a pl a ce \frac{1}{( s + 1 ) ( s ^{2} + 2 s + 10 )}