derivative tan^2(4x)

Lösung

ableitung von

tan^{2} (4 x)

8 sec^{2} (4 x) tan (4 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

2 tan (4 x) \frac{d}{d x} (tan (4 x))

= 2 tan (4 x) \frac{d}{d x} (tan (4 x))

\frac{d}{d x} (tan (4 x)) = sec^{2} (4 x) \cdot 4

= 2 tan (4 x) sec^{2} (4 x) \cdot 4

Vereinfache

= 8 sec^{2} (4 x) tan (4 x)

n \to \infty lim ((- 1)^{n})

\frac{d}{d x} (\frac{x ^{3}}{3 - 6 x ^{2} + 8 x - 7})

\frac{d}{d x} (\frac{20 x ^{2}}{( x - 1 ) ^{3}})

t an g e n t f (x) = \frac{1}{( 2 x - 1 ) ^{6}}, at x = 1

x \to - 2 lim (8 + x^{3})