(\partial)/(\partial x)(4x^{1/2}+y)

Lösung

\frac{\partial}{\partial x} (4 x^{\frac{1}{2}} + y)

\frac{2}{x ^{\frac{1}{2}}}

Schritte zur Lösung

\frac{\partial}{\partial x} (4 x^{\frac{1}{2}} + y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 x^{\frac{1}{2}}) + \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (4 x^{\frac{1}{2}}) = \frac{2}{x ^{\frac{1}{2}}}

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

= \frac{2}{x ^{\frac{1}{2}}} + 0

Vereinfache

= \frac{2}{x ^{\frac{1}{2}}}

\int \frac{( x ^{2} - 3 x + 2 )}{x + 1} d x

\int_{- \infty}^{0} \frac{1}{3 - 7 x} d x

\int sin (2 x) sin (x) d x

\int sec (x) - tan (x) d x

in v erse l a pl a ce \frac{8.2}{4.2 x ^{2} + 4 x + 5}