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受欢迎的微积分 >

面积 x=-y,x=2y+3,y=-2,y=1

解答

面积

x = - y, x = 2 y + 3, y = - 2, y = 1

解答

无解

求解步骤

对于

x = - y

将

y

移到一边:

y = - x

对于

x = 2 y + 3

将

y

移到一边:

y = \frac{x - 3}{2}

f_{1} (x) = - x

f_{2} (x) = \frac{x - 3}{2}

要找到相交点，解

f_{i} (x) = f_{j} (x)

- x = \frac{x - 3}{2} : x = 1

- x = - 2 : x = 2

- x = 1 : x = - 1

\frac{x - 3}{2} = - 2 : x = - 1

\frac{x - 3}{2} = 1 : x = 5

- 2 = 1 :

假

曲线没有界限

= 无解

作图

流行的例子

derivative of xln(3)

\frac{d}{d x} (x ln (3))

derivative f(x)=sqrt(x)+1

d er i v a t i v e f (x) = x + 1

(dx)/(x(y-1))+(dy)/(y(x+2))=0,y(1)=1

\frac{d x}{x ( y - 1 )} + \frac{d y}{y ( x + 2 )} = 0, y (1) = 1

11x-4ysqrt(x^2+1)y^'=0,y(0)=7

11 x - 4 y x^{2} + 1 y^{^{'}} = 0, y (0) = 7

limit as x approaches 5 of 4/(x-5)

x \to 5 lim (\frac{4}{x - 5})