derivative of sec(tan^2(x^4))

Lösung

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

sec (tan^{2} (x^{4})) tan (tan^{2} (x^{4})) \cdot 8 x^{3} sec^{2} (x^{4}) tan (x^{4})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (tan^{2} (x^{4})) = 8 x^{3} sec^{2} (x^{4}) tan (x^{4})

= sec (tan^{2} (x^{4})) tan (tan^{2} (x^{4})) \cdot 8 x^{3} sec^{2} (x^{4}) tan (x^{4})

d y = (x y^{2} + 3 x y) d x

y^{^{''}} + 4 y^{^{'}} + 4 y = 25 cos (x)

n = 0 \sum \infty \frac{1}{3 ^{n} - n}

d er i v a t i v e x^{y}

d er i v a t i v e y = x^{2} 2 x - 7