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受欢迎的微积分 >

tangent y=8x^2-5x^{11}

解答

切线

y = 8 x^{2} - 5 x^{11}

解答

y = (16 a_{0} - 55 a_{0}^{10}) x + 50 a_{0}^{11} - 8 a_{0}^{2}

求解步骤

计算在一般点

x = a_{0}

的切线

找到切点:

(a_{0}, 8 a_{0}^{2} - 5 a_{0}^{11})

计算

y = 8 x^{2} - 5 x^{11}

的斜率:

\frac{d y}{d x} = 16 x - 55 x^{10}

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 = 16 a_{0} - 55 a_{0}^{10}

找到斜率 m=

16 a_{0} - 55 a_{0}^{10}

且穿过

(a_{0}, 8 a_{0}^{2} - 5 a_{0}^{11})

的直线:

y = (16 a_{0} - 55 a_{0}^{10}) x + 50 a_{0}^{11} - 8 a_{0}^{2}

y = (16 a_{0} - 55 a_{0}^{10}) x + 50 a_{0}^{11} - 8 a_{0}^{2}

作图

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