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Beliebt Rechnen >

(\partial)/(\partial b)((ax+b-y)^2)

Lösung

\frac{\partial}{\partial b} ((a x + b - y)^{2})

Lösung

2 (a x + b - y)

Schritte zur Lösung

\frac{\partial}{\partial b} ((a x + b - y)^{2})

Behandle

a, x, y

als Konstanten

Wende die Kettenregel an:

2 (a x + b - y) \frac{\partial}{\partial b} (a x + b - y)

= 2 (a x + b - y) \frac{\partial}{\partial b} (a x + b - y)

\frac{\partial}{\partial b} (a x + b - y) = 1

= 2 (a x + b - y) \cdot 1

Vereinfache

= 2 (a x + b - y)

Beliebte Beispiele

integral of e^{(-x)/3}cos(5x)

\int e^{\frac{- x}{3}} cos (5 x) d x

limit as x approaches 0 of (11sin(8x))/x

x \to 0 lim (\frac{11 sin ( 8 x )}{x})

steigung 7y^3+9x^8=5y+11x,(1,1)

s l o p e 7 y^{3} + 9 x^{8} = 5 y + 11 x, (1, 1)

derivative x^4+5x^2-x

d er i v a t i v e x^{4} + 5 x^{2} - x

derivative f(x)=8e^e

d er i v a t i v e f (x) = 8 e^{e}