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人気のある微分積分 >

derivative of 1-sec(x)

解

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

解

- sec (x) tan (x)

解答ステップ

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

和/差の法則を適用:

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

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

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

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

= 0 - sec (x) tan (x)

簡素化

= - sec (x) tan (x)

グラフ

人気の例

integral of (x^{1.5}+9x^{3.5})

\int (x^{1.5} + 9 x^{3.5}) d x

(7x+2y)(dy)/(dx)=-2x-7y

(7 x + 2 y) \frac{d y}{d x} = - 2 x - 7 y

limit as x approaches 2+of (x+4)/(x-2)

x \to 2 + lim (\frac{x + 4}{x - 2})

limit as x approaches 0 of (7x)/(|x|)

x \to 0 lim (\frac{7 x}{∣ x ∣})

limit as x approaches 1-of ln(x^2-1)

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