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人気のある微分積分 >

tangent x^{sin(x)}

解

タンジェント

x^{s i n (x)}

解

y = a_{0}^{s i n (a_{0})} (cos (a_{0}) ln (a_{0}) + \frac{sin ( a _{0} )}{a _{0}}) x + a_{0}^{s i n (a_{0})} - a_{0}^{s i n (a_{0}) + 1} (ln (a_{0}) cos (a_{0}) + \frac{sin ( a _{0} )}{a _{0}})

解答ステップ

一般的なポイントへの接線を計算する

x = a_{0}

接点を見つける:

(a_{0}, a_{0}^{s i n (a_{0})})

以下の傾斜を見つける:

y = x^{s i n (x)} : \frac{d y}{d x} = x^{s i n (x)} (cos (x) ln (x) + \frac{sin ( x )}{x})

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = a_{0}^{s i n (a_{0})} (cos (a_{0}) ln (a_{0}) + \frac{sin ( a _{0} )}{a _{0}})

傾斜m=

a_{0}^{s i n (a_{0})} (cos (a_{0}) ln (a_{0}) + \frac{sin ( a _{0} )}{a _{0}})

で通過する線を見つける

(a_{0}, a_{0}^{s i n (a_{0})}) : y = a_{0}^{s i n (a_{0})} (cos (a_{0}) ln (a_{0}) + \frac{sin ( a _{0} )}{a _{0}}) x + a_{0}^{s i n (a_{0})} - a_{0}^{s i n (a_{0}) + 1} (ln (a_{0}) cos (a_{0}) + \frac{sin ( a _{0} )}{a _{0}})

y = a_{0}^{s i n (a_{0})} (cos (a_{0}) ln (a_{0}) + \frac{sin ( a _{0} )}{a _{0}}) x + a_{0}^{s i n (a_{0})} - a_{0}^{s i n (a_{0}) + 1} (ln (a_{0}) cos (a_{0}) + \frac{sin ( a _{0} )}{a _{0}})

グラフ

人気の例

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