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

Lösung

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

2

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (3 y^{2} + z^{2}) = 0

= 2 - 0

Vereinfache

= 2

\frac{d}{d x} (\frac{14}{x ^{3}})

\frac{\partial}{\partial x} (x^{\frac{x}{y}} cos (\frac{x}{y}))

n = 1 \sum \infty \frac{1}{( 5 n - 4 ) ^{4}}

\int - 0.4 x^{2} + 1000 d x

\frac{\partial}{\partial x} (ln (\frac{y ^{2}}{x}))