derivative f(x)=(5x+2x^2)^2

Lösung

ableitung von

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

2 (5 x + 2 x^{2}) (5 + 4 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (5 x + 2 x^{2}) = 5 + 4 x

= 2 (5 x + 2 x^{2}) (5 + 4 x)

in v erse l a pl a ce \frac{4}{s + 3}

\int \frac{4 x ^{19} - 5 x ^{- 8}}{x ^{2}} d x

x \to \infty lim (- x e^{- x^{2}} 2 - e^{- x^{2}})

\frac{d v}{d y} + 2 \cdot v = 4 e^{- y}

\int_{- 8}^{3} ∣ x ∣ + 1 d x