derivative F(x)=(x^4+9x^2-7)^8

Lösung

ableitung von

F (x) = (x^{4} + 9 x^{2} - 7)^{8}

8 (x^{4} + 9 x^{2} - 7)^{7} (4 x^{3} + 18 x)

Schritte zur Lösung

\frac{d}{d x} ((x^{4} + 9 x^{2} - 7)^{8})

Wende die Kettenregel an:

8 (x^{4} + 9 x^{2} - 7)^{7} \frac{d}{d x} (x^{4} + 9 x^{2} - 7)

= 8 (x^{4} + 9 x^{2} - 7)^{7} \frac{d}{d x} (x^{4} + 9 x^{2} - 7)

\frac{d}{d x} (x^{4} + 9 x^{2} - 7) = 4 x^{3} + 18 x

= 8 (x^{4} + 9 x^{2} - 7)^{7} (4 x^{3} + 18 x)

\int_{3}^{9} \frac{8}{x} d x

x \to 4 lim (\frac{7 + x}{4 - x})

x \to 0 lim (\frac{x}{sin ^{2} ( 0 )})

\int \frac{e ^{x}}{1 + e ^{2 x}} d x

\frac{d}{d x} (\frac{1}{x ^{14}})