derivative x^2*ln(x)

Lösung

ableitung von

x^{2} \cdot ln (x)

2 x ln (x) + x

Schritte zur Lösung

\frac{d}{d x} (x^{2} ln (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = ln (x)

= \frac{d}{d x} (x^{2}) ln (x) + \frac{d}{d x} (ln (x)) x^{2}

\frac{d}{d x} (x^{2}) = 2 x

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

= 2 x ln (x) + \frac{1}{x} x^{2}

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

= 2 x ln (x) + x

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

\int sin (2 y) (3 - cos (2 y))^{2} d y

f (x) = - cos (2 x)

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

\frac{d}{d x} (\frac{16 x}{( 4 - x ^{2} ) ^{2}})