derivative of (2x-1^3(x+1)^5)

Lösung

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

6 (2 x - 1)^{2} (x + 1)^{5} + 5 (x + 1)^{4} (2 x - 1)^{3}

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

\frac{d}{d x} ((2 x - 1)^{3}) = 6 (2 x - 1)^{2}

\frac{d}{d x} ((x + 1)^{5}) = 5 (x + 1)^{4}

= 6 (2 x - 1)^{2} (x + 1)^{5} + 5 (x + 1)^{4} (2 x - 1)^{3}

t^{2} y^{^{''}} + 3 t y^{^{'}} + y = \frac{1}{t}

x \to 0 lim (\frac{1}{3 + x} - \frac{1}{3})

\int 6 + 7 t^{2} d t

x \to 1 + lim (\frac{( x )}{ln ( x )})

t an g e n t 4 x (3 - 2 x)^{5}, at 2