derivative y=(x^2+5x+2)^3

Lösung

ableitung von

y = (x^{2} + 5 x + 2)^{3}

3 (x^{2} + 5 x + 2)^{2} (2 x + 5)

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + 5 x + 2)^{3})

Wende die Kettenregel an:

3 (x^{2} + 5 x + 2)^{2} \frac{d}{d x} (x^{2} + 5 x + 2)

= 3 (x^{2} + 5 x + 2)^{2} \frac{d}{d x} (x^{2} + 5 x + 2)

\frac{d}{d x} (x^{2} + 5 x + 2) = 2 x + 5

= 3 (x^{2} + 5 x + 2)^{2} (2 x + 5)

x \to \frac{c}{2 ^{-}} lim ([2 x - 4])

(y^{2} + x y^{2}) y^{^{'}} = 1

d er i v a t i v e g (x) = \frac{3 x + 1}{( 2 x ^{2} - 5 ) ^{2}}

l a pl a ce t r an s f or m (1 + e^{t})^{2}

\frac{\partial}{\partial x} (8 + x ln (x y - 5))