(\partial)/(\partial x)(15x^2+10y)

Lösung

\frac{\partial}{\partial x} (15 x^{2} + 10 y)

30 x

Schritte zur Lösung

\frac{\partial}{\partial x} (15 x^{2} + 10 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (15 x^{2}) + \frac{\partial}{\partial x} (10 y)

\frac{\partial}{\partial x} (15 x^{2}) = 30 x

\frac{\partial}{\partial x} (10 y) = 0

= 30 x + 0

Vereinfache

= 30 x

\int_{3}^{5} \frac{x ^{3}}{8} d x

\int_{0}^{2 π} sin (2 x) sin (x) d x

n = 0 \sum \infty (\frac{- 1}{2})^{n}

t an g e n t f (x) = 4 x (x^{2} - 4 x + 5)^{9}, at x = 2

\frac{d}{d x} (9 e^{- 4 x})