derivative f(x)=x(ln(x))-x

Lösung

ableitung von

f (x) = x (ln (x)) - x

ln (x)

Schritte zur Lösung

\frac{d}{d x} (x ln (x) - x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x ln (x)) - \frac{d x}{d x}

\frac{d}{d x} (x ln (x)) = ln (x) + 1

\frac{d x}{d x} = 1

= ln (x) + 1 - 1

Vereinfache

= ln (x)

d er i v a t i v e f (x) = \frac{x ^{2} - 3 x}{2 x + 1}

\int \frac{( 7 x ^{2} + x + 7 )}{( x ^{2} + 1 ) ^{2}} d x

\int \frac{x ^{3} + 1}{x ^{2} - 4} d x

\int_{0}^{4} e^{- x} d x

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