derivative (x+2)^2*(x-3)^3

Lösung

ableitung von

(x + 2)^{2} \cdot (x - 3)^{3}

2 (x + 2) (x - 3)^{3} + 3 (x - 3)^{2} (x + 2)^{2}

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = (x + 2)^{2}, g = (x - 3)^{3}

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

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

\frac{d}{d x} ((x - 3)^{3}) = 3 (x - 3)^{2}

= 2 (x + 2) (x - 3)^{3} + 3 (x - 3)^{2} (x + 2)^{2}

\frac{d}{d x} (\frac{( 5 + 4 - x )}{6})

\frac{d}{d t} (cos (w_{0} \cdot t))

d er i v a t i v e ln^{1} (+ x)

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

\frac{d}{d a} (3 sin^{2} (a) - 2 cos^{2} (a))