derivative of sec^2(x^3)

Lösung

\frac{d}{d x} (sec^{2} (x^{3}))

6 x^{2} sec^{2} (x^{3}) tan (x^{3})

Schritte zur Lösung

\frac{d}{d x} (sec^{2} (x^{3}))

Wende die Kettenregel an:

2 sec (x^{3}) \frac{d}{d x} (sec (x^{3}))

= 2 sec (x^{3}) \frac{d}{d x} (sec (x^{3}))

\frac{d}{d x} (sec (x^{3})) = sec (x^{3}) tan (x^{3}) \cdot 3 x^{2}

= 2 sec (x^{3}) sec (x^{3}) tan (x^{3}) \cdot 3 x^{2}

Vereinfache

2 sec (x^{3}) sec (x^{3}) tan (x^{3}) \cdot 3 x^{2} : 6 x^{2} sec^{2} (x^{3}) tan (x^{3})

= 6 x^{2} sec^{2} (x^{3}) tan (x^{3})

x \to 2 lim (- x + 7)

\int \frac{x ^{3}}{x ^{4} + 6} d x

t an g e n t f (x) = ln (x^{7}), (1, 0)

\frac{d y}{d x} = \frac{2 x + 5 y}{x}

s im pl i f y - \frac{2}{3} x^{3} - 15 x - 3 x^{5}