derivative (x^2-5x+1)^4

Lösung

ableitung von

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

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

Schritte zur Lösung

\frac{d}{d x} ((x^{2} - 5 x + 1)^{4})

Wende die Kettenregel an:

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

= 4 (x^{2} - 5 x + 1)^{3} \frac{d}{d x} (x^{2} - 5 x + 1)

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

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

\int_{1}^{3} (2 x^{2} - 12 x + 13) d x

\int (\frac{ln ( x )}{x})^{2} d x

(ln (x + 2))^{^{'}}

x \to 7 - lim (\frac{6 x}{x - 7})

\frac{d}{d x} (- 1.2 x^{2} + 9.6 x)