derivative sec^2(x)+tan^2(x)

Lösung

ableitung von

sec^{2} (x) + tan^{2} (x)

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

Schritte zur Lösung

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

Vereinfache

sec^{2} (x) + tan^{2} (x) : 1 + 2 tan^{2} (x)

= \frac{d}{d x} (1 + 2 tan^{2} (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) + \frac{d}{d x} (2 tan^{2} (x))

\frac{d}{d x} (1) = 0

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

= 0 + 4 sec^{2} (x) tan (x)

Vereinfache

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

t an g e n t f (x) = 15 x - 1.86 x^{2}, at x = a

\frac{d}{d x} (7^{x^{2}})

\int - 3 x^{2} - 20 x + 2000 d x

(1 + x^{2}) \frac{d y}{d x} - \frac{4 x ^{3} y}{1 - x ^{2}} = 1

\int 3 x^{2} + 8 x - 9 d x