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Beliebt Rechnen >

derivative of 2sqrt({f)(x})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

Vereinfache

2 \cdot \frac{1}{2 f ( x )} \frac{d}{d x} (f (x)) : \frac{\frac{d}{d x} ( f ( x ) )}{f ( x )}

= \frac{\frac{d}{d x} ( f ( x ) )}{f ( x )}

Beliebte Beispiele

integral of (e^{-x^2})^2

\int (e^{- x^{2}})^{2} d x

integral of (x^2)/3

\int \frac{x ^{2}}{3} d x

integral of x/(3x^4+1)

\int \frac{x}{3 x ^{4} + 1} d x

integral of (xln(2)+3/(2x))

\int (x ln (2) + \frac{3}{2 x}) d x

derivative f(x)=sqrt(x-6)

d er i v a t i v e f (x) = x - 6