(\partial)/(\partial r)((x)(r+3s-t))

Lösung

\frac{\partial}{\partial r} ((x) (r + 3 s - t))

x

Schritte zur Lösung

\frac{\partial}{\partial r} ((x) (r + 3 s - t))

Behandle

x, s, t

als Konstanten

Entferne die Konstante:

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

= x \frac{\partial}{\partial r} (r + 3 s - t)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= x (\frac{\partial}{\partial r} (r) + \frac{\partial}{\partial r} (3 s) - \frac{\partial}{\partial r} (t))

\frac{\partial}{\partial r} (r) = 1

\frac{\partial}{\partial r} (3 s) = 0

\frac{\partial}{\partial r} (t) = 0

= x (1 + 0 - 0)

Vereinfache

= x

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e x p an d \frac{4 s}{( x + 2 ) ( x - 1 )}

e x p an d e^{- 2 t} (- sin (4) 4) + cos (4 t) (e^{- 2 t} - 2 t)

\frac{d ^{3}}{d x ^{3}} ((y) (3 x^{3} + 6 x^{2} - 4 x))

e x p an d 7350 (z - e^{- T}) (z - e^{- 2 T}) (z - e^{- 7 T})