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人気のある微分積分 >

derivative f(x)=3csc(x)-5sec(x)

解

導関数

f (x) = 3 csc (x) - 5 sec (x)

解

- 3 cot (x) csc (x) - 5 sec (x) tan (x)

解答ステップ

\frac{d}{d x} (3 csc (x) - 5 sec (x))

和/差の法則を適用:

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

= \frac{d}{d x} (3 csc (x)) - \frac{d}{d x} (5 sec (x))

\frac{d}{d x} (3 csc (x)) = - 3 cot (x) csc (x)

\frac{d}{d x} (5 sec (x)) = 5 sec (x) tan (x)

= - 3 cot (x) csc (x) - 5 sec (x) tan (x)

グラフ

人気の例

integral of (x+2)/(x^2+4x+1)

\int \frac{x + 2}{x ^{2} + 4 x + 1} d x

integral of (sinh(x)-cosh(x))e^{-x}

\int (sinh (x) - cosh (x)) e^{- x} d x

x^2dx-y(1+x^3)dy=0

x^{2} d x - y (1 + x^{3}) d y = 0

limit as x approaches 0 of (x^5+3x)/x

x \to 0 lim (\frac{x ^{5} + 3 x}{x})

limit as x approaches 0 of 1/(xcot(x))

x \to 0 lim (\frac{1}{x cot ( x )})