(\partial)/(\partial x)(3ln(x)-5)

Lösung

\frac{\partial}{\partial x} (3 ln (x) - 5)

\frac{3}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (3 ln (x) - 5)

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 ln (x)) - \frac{\partial}{\partial x} (5)

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

\frac{\partial}{\partial x} (5) = 0

= \frac{3}{x} - 0

Vereinfache

= \frac{3}{x}

\int \frac{x - 17}{x ^{2} + 1} d x

\frac{\partial}{\partial x} (x^{2} sin (3 x y))

\int sin (3 x + 1) d x

\frac{\partial}{\partial x} (5 cos (2 x + 5 y))

\int \frac{5 x ^{3}}{6 + x ^{2}} d x