(\partial)/(\partial x)(3x+4y)

Lösung

\frac{\partial}{\partial x} (3 x + 4 y)

3

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x + 4 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x) + \frac{\partial}{\partial x} (4 y)

\frac{\partial}{\partial x} (3 x) = 3

\frac{\partial}{\partial x} (4 y) = 0

= 3 + 0

Vereinfache

= 3

l a pl a ce t r an s f or m (25 t) (\frac{t ^{2}}{25})

d er i v a t i v e y = (x^{2} + sin (x))^{3}

t an g e n t f (x) = 4 x - x, (1, 0)

\int (0.8 x + \frac{1}{6 0 ^{2}})^{- \frac{1}{2}} d x

\int_{- 1}^{3} \frac{1}{5} x^{3} d x