(\partial)/(\partial x)(2+3xsqrt(y))

Lösung

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

3 y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (2) = 0

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

= 0 + 3 y

Vereinfache

= 3 y

n = 0 \sum \infty (4 x^{2})^{n}

x \to π lim (9 sin (sin (x)))

\int \frac{4}{x + 2} d x

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = 3, y^{^{'}} (0) = 9

\frac{d}{d x} (100 (y - x^{2})^{2} + (1 - x)^{2})