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Beliebt Rechnen >

derivative of ((x-2^2)/4)

Lösung

\frac{d}{d x} (\frac{( x - 2 ) ^{2}}{4})

Lösung

\frac{x}{2} - 1

Schritte zur Lösung

\frac{d}{d x} (\frac{( x - 2 ) ^{2}}{4})

Entferne die Konstante:

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

= \frac{1}{4} \frac{d}{d x} ((x - 2)^{2})

Wende die Kettenregel an:

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

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

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

= \frac{1}{4} \cdot 2 (x - 2) \cdot 1

Vereinfache

\frac{1}{4} \cdot 2 (x - 2) \cdot 1 : \frac{x}{2} - 1

= \frac{x}{2} - 1

Graph

Beliebte Beispiele

2x^3y^'=y(y^2+3x^2)

2 x^{3} y^{^{'}} = y (y^{2} + 3 x^{2})

integral of 6x+1

\int 6 x + 1 d x

tangent y=-(x^2)/(40),(-4sqrt(5),-2)

t an g e n t y = - \frac{x ^{2}}{40}, (- 45, - 2)

derivative of f(x(2x^2-4))

\frac{d}{d x} (f (x) (2 x^{2} - 4))

a re a 4 x, x^{3}