derivative of (c(x-c)^2)

Lösung

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

2 c (x - c)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 2 c (x - c)

e x p an d x^{2} \frac{d}{d x} ((y) (y - x y))

e x p an d (- d + e) (4 e + d)

e x p an d \frac{( y - 1 ) ^{3}}{y}

e x p an d \frac{x ( x - 1 ) ^{2}}{( x + 3 ) ^{3}}

s im pl i f y - \frac{3}{13} e^{(- 2 + 3 i) t}