(\partial)/(\partial x)(2x+1-5y)

Lösung

\frac{\partial}{\partial x} (2 x + 1 - 5 y)

2

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x + 1 - 5 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x) + \frac{\partial}{\partial x} (1) - \frac{\partial}{\partial x} (5 y)

\frac{\partial}{\partial x} (2 x) = 2

\frac{\partial}{\partial x} (1) = 0

\frac{\partial}{\partial x} (5 y) = 0

= 2 + 0 - 0

Vereinfache

= 2

d er i v a t i v e h (x) = 3 + 5 sin (x)

\int_{- 4}^{1} \frac{1}{x ^{4}} d x

\int_{- 2}^{- 1} (4 y^{3} + \frac{2}{y ^{3}}) d y

l a pl a ce t r an s f or m 4 t^{4}

\frac{d}{d x} (\frac{x ^{n}}{( 1 + x ) ^{n}})