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受欢迎的微积分 >

tangent sqrt(2x^2+x-7)

解答

切线

2 x^{2} + x - 7

解答

y = \frac{4 a + 1}{2 2 a ^{2} + a - 7} x + 2 a^{2} + a - 7 - \frac{a ( 4 a + 1 )}{2 2 a ^{2} + a - 7}

求解步骤

计算在一般点

x = a

的切线

找到切点:

(a, 2 a^{2} + a - 7)

计算

y = 2 x^{2} + x - 7

的斜率:

\frac{d y}{d x} = \frac{4 x + 1}{2 2 x ^{2} + x - 7}

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 = \frac{4 a + 1}{2 2 a ^{2} + a - 7}

找到斜率 m=

\frac{4 a + 1}{2 2 a ^{2} + a - 7}

且穿过

(a, 2 a^{2} + a - 7)

的直线:

y = \frac{4 a + 1}{2 2 a ^{2} + a - 7} x + 2 a^{2} + a - 7 - \frac{a ( 4 a + 1 )}{2 2 a ^{2} + a - 7}

y = \frac{4 a + 1}{2 2 a ^{2} + a - 7} x + 2 a^{2} + a - 7 - \frac{a ( 4 a + 1 )}{2 2 a ^{2} + a - 7}

作图

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