derivative of sec^2(x-3)

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (3) = 0

= 2 sec^{2} (x) tan (x) - 0

Vereinfache

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

t an g e n t - 3 x^{2}, at x = 8

d er i v a t i v e f (t) = \frac{3 t}{t - 6}

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

\int_{2}^{5} e^{- x} d x

\frac{\partial}{\partial y} (3 y^{2} cos (4 x))