derivative of sqrt(2sec(x))

解答

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

\frac{tan ( x ) sec ( x )}{2}

求解步骤

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

使用连锁律:

\frac{1}{2 2 sec ( x )} \frac{d}{d x} (2 sec (x))

= \frac{1}{2 2 sec ( x )} \frac{d}{d x} (2 sec (x))

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

= \frac{1}{2 2 sec ( x )} \cdot 2 sec (x) tan (x)

化简

\frac{1}{2 2 sec ( x )} \cdot 2 sec (x) tan (x) : \frac{tan ( x ) sec ( x )}{2}

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

d er i v a t i v e y = 1 + e^{- 2 x^{2} + 8 x - 7}

x \to 0 lim (- (\frac{1}{x ^{2}}))

y^{^{'}} = 9 t y^{2}

x \to - 4 - lim (\frac{∣ x + 4 ∣}{x + 4})

y^{^{''}} + 23 y = 0