derivative f(x)=(2x^5-3)^8

Lösung

ableitung von

f (x) = (2 x^{5} - 3)^{8}

80 x^{4} (2 x^{5} - 3)^{7}

Schritte zur Lösung

\frac{d}{d x} ((2 x^{5} - 3)^{8})

Wende die Kettenregel an:

8 (2 x^{5} - 3)^{7} \frac{d}{d x} (2 x^{5} - 3)

= 8 (2 x^{5} - 3)^{7} \frac{d}{d x} (2 x^{5} - 3)

\frac{d}{d x} (2 x^{5} - 3) = 10 x^{4}

= 8 (2 x^{5} - 3)^{7} \cdot 10 x^{4}

Vereinfache

= 80 x^{4} (2 x^{5} - 3)^{7}

x \to + (- 2.4) lim (x)

n = 7 \sum \infty \frac{1}{n}

x \to - 5 lim (\frac{x - 1}{x + 5})

\int \frac{5}{16 + 9 cos ^{2} ( x )} d x

\frac{\partial}{\partial x} (ln ((\frac{y}{x})^{2}))