derivative x^2ln(x^2)

Lösung

ableitung von

x^{2} ln (x^{2})

2 x ln (x^{2}) + 2 x

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

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

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

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

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

= 2 x ln (x^{2}) + 2 x

x \to 0 lim (2 x a)

d er i v a t i v e y = (5 x + 4)^{3}

1 - y^{^{'}} = cos (y)

\int_{2}^{3} \frac{3}{3 - x} d x

a re a x = 0, y = - 1 + \frac{x ^{2}}{4}, y = 2 + \frac{x}{4}