tangent 2y^3+xy-y=250x^4,(1,5)

解答

切线

2 y^{3} + x y - y = 250 x^{4}, (1, 5)

y = \frac{199}{30} x - \frac{49}{30}

求解步骤

计算

2 y^{3} + x y - y = 250 x^{4}

的斜率:

\frac{d y}{d x} = \frac{1000 x ^{3} - y}{6 y ^{2} + x - 1}

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{199}{30}

找到斜率 m=

\frac{199}{30}

且穿过

(1, 5)

的直线:

y = \frac{199}{30} x - \frac{49}{30}

y = \frac{199}{30} x - \frac{49}{30}

\frac{d}{d x} ((1 - cos (x))^{2})

\int 5 x ln (x^{6}) d x

x \to 1 lim (3 x^{3} - 2 x^{2} + 4)

\int \frac{x ^{2} + 2 x}{x ^{3} - x ^{2} + x - 1} d x

d er i v a t i v e y (θ) = \frac{π}{9} cos (θ)