(\partial)/(\partial x)(2x^2+3y-20)

Lösung

\frac{\partial}{\partial x} (2 x^{2} + 3 y - 20)

4 x

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x^{2} + 3 y - 20)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x^{2}) + \frac{\partial}{\partial x} (3 y) - \frac{\partial}{\partial x} (20)

\frac{\partial}{\partial x} (2 x^{2}) = 4 x

\frac{\partial}{\partial x} (3 y) = 0

\frac{\partial}{\partial x} (20) = 0

= 4 x + 0 - 0

Vereinfache

= 4 x

d er i v a t i v e (1 - x)^{3}

\frac{\partial}{\partial y} (- e^{x} sin (y) + \frac{1}{y})

x \to 0 lim (\frac{7 ^{x} - 5 ^{x}}{x})

\frac{\partial}{\partial x} (z - sin (x y))

\int_{0}^{x} \frac{sin ( t )}{t} d t