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人気のある微分積分 >

(1/(cos^2(x)))^'

解

(\frac{1}{cos ^{2} ( x )})^{^{'}}

解

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

解答ステップ

(\frac{1}{cos ^{2} ( x )})^{'}

簡素化

\frac{1}{cos ^{2} ( x )} : sec^{2} (x)

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

連鎖法則を適用:

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

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

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

= 2 sec (x) sec (x) tan (x)

簡素化

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

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

グラフ

人気の例

integral of 3sec^2(x)

\int 3 sec^{2} (x) d x

limit as x approaches 5 of 2x^3-3x+8

x \to 5 lim (2 x^{3} - 3 x + 8)

tangent x^2+x,\at x=-4

t an g e n t x^{2} + x, at x = - 4

limit as x approaches 3pi-of 1+csc(x)

x \to 3 π - lim (1 + csc (x))

y=(sqrt(x))/(7+x)

y = \frac{x}{7 + x}