Given y = x times LNX, find dy=___ DX? Please write the standard steps and the final answer,

y=xlnx
dy=y'dx
=[x'lnx+x(lnx)']dx
=(lnx+1)dx

RELATED INFORMATIONS

1. Find the integral of ∫ DX / X (X & # 178; + 1)?
2. Let f (x) be differentiable on the interval [0,1], f (0) = 0,0
3. Let f (x) be continuous on the interval [a, b], and prove that 1 / (B-A) ∫ f (x) DX ≤ (1 / (B-A) ∫ F & # 178; (x) DX) ^ & # 189;
4. Let f (x) be continuous on the interval [a, b], then the value of ∫ f (x) DX - ∫ f (T) DT (the interval is [a, b]) is?
5. Let f (x) be continuous on (0, π / 2) (closed interval), f (x) = xcosx + ∫ f (T) DT, then ∫ f (x) DX has upper limit and lower limit π / 2 The upper limit is flat π / 2 and the lower limit is 0
6. Let the variable upper limit integral ∫ (0, x) f (T ^ 2) DT = x ^ 3, then 2 ∫ (0,1) DX =? Sorry, wrong number. If the variable upper limit integral ∫ (0, x) f (T ^ 2) DT = x ^ 3, then 2 ∫ (0,1) f (x) DX =?
7. The side on which () is located is called the bottom of the triangle
8. In general, we call () triangle elements
9. What is the high line of a triangle
10. Equilateral triangles are also called______ Triangle, each inner angle is equal to______ °．
11. Solve DX / (x + T) = dy / (- y + T) = DT
12. (y ^ 3-4x ^ 2) / (x ^ 3 + 2Y) = 44 / 31 given DX / dt = 5 x = - 3 y = - 2 find dy / DT
13. The parabolic standard equation with chord length of 16, which is perpendicular to the x-axis and has the focal point, is solved
14. Through the focus F of the parabola y ^ 2 = 4x, make a straight line intersection parabola with an inclination angle of θ, and use θ to represent the length of AB at two points ab
15. Given that the inclination angle of the line passing through the focus of the parabola y ^ 2 = 4x is 60 degrees, then the distance from the vertex to the line is?
16. Given the parabola y & sup2; = 4x, make a straight line with an inclination angle of π / 4 through its focus F, intersect the parabola at two points a and B, let the vertex of the parabola be o, and find △ a Given the parabola y & # 178; = 4x, make a straight line through its focus f with an inclination angle of π / 4, intersect the parabola at two points a and B, let the vertex of the parabola be o, and calculate the area of △ ABC
17. Make a straight line with a slope of 45 degrees through the focus f with the square of parabola y = 4x, intersect the parabola at two points a and B, and find the distance from the midpoint C of AB to the parabola collimator
18. Through the focus F of parabola y2 = 4ax (a > 0), make two mutually perpendicular focus chords AB and CD, and find the minimum value of | ab | + | CD |
19. Given that the vertex is at the origin and the focus is on the Y-axis of the parabola C section line y = 2x-1, the chord length is 2 root sign 10, and the equation of parabola C is obtained
20. Write the standard equation of parabola according to the following conditions: (1) the focal point is f (0,3), (2) the distance from the focal point to the collimator is 2