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Beliebt Rechnen >

derivative of 2(x-1^2)

Lösung

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

Lösung

4 (x - 1)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= 2 \cdot 2 (x - 1) \cdot 1

Vereinfache

= 4 (x - 1)

Graph

Beliebte Beispiele

y^{''}+4y^'+5y=-10x+3e^{-x}

y^{^{''}} + 4 y^{^{'}} + 5 y = - 10 x + 3 e^{- x}

limit as x approaches 3 of sqrt(x-2)

x \to 3 lim (x - 2)

integral of (sec^2(x))/x

\int \frac{sec ^{2} ( x )}{x} d x

derivative f(x)=(x+5)/(x-5)

d er i v a t i v e f (x) = \frac{x + 5}{x - 5}

limit as x approaches-2 of x^2-4/(x+2)

x \to - 2 lim (x^{2} - \frac{4}{x + 2})