derivative y=(2x+1)(x+5)^3

Lösung

ableitung von

y = (2 x + 1) (x + 5)^{3}

2 (x + 5)^{3} + 3 (x + 5)^{2} (2 x + 1)

Schritte zur Lösung

\frac{d}{d x} ((2 x + 1) (x + 5)^{3})

Wende die Produktregel an:

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

f = 2 x + 1, g = (x + 5)^{3}

= \frac{d}{d x} (2 x + 1) (x + 5)^{3} + \frac{d}{d x} ((x + 5)^{3}) (2 x + 1)

\frac{d}{d x} (2 x + 1) = 2

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

= 2 (x + 5)^{3} + 3 (x + 5)^{2} (2 x + 1)

n = 0 \sum \infty (- 1)^{n} (2^{n})

d er i v a t i v e y = 30 e^{- 0.0000323 (1600)}

\frac{\partial}{\partial x} (tan (\frac{y}{x}))

a re a ∣ x ∣, x^{2}

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