The tangent equation of curve y = Xe ^ x + 2x + 1 at point (0,1) is

y'=e^x+xe^x+2
y'(0)=1+0+2=3
The tangent slope is 3
The tangent point is (0,1)
y-1=3x
y=3x+1

RELATED INFORMATIONS

1. Find the tangent equation of the curve y = 4x-x ^ 2 at point B (1,3)
2. In the tangent of the curve y = X3 + X-2, the tangent equation parallel to the straight line 4x-y = 1 is () A. 4x-y = 0b. 4x-y-4 = 0C. 2x-y-2 = 0d. 4x-y = 0 or 4x-y-4 = 0
3. A tangent equation of the curve y = x ^ 2 is 4x-y-4 = 0, and the tangent coordinates are obtained
4. The tangent equation of the curve y = X3 + X parallel to the straight line y = 4x-1 is () A. 4x-y = 0b. 4x-y + 2 = 0 or 4x-y-2 = 0C. 4x-y-2 = 0d. 4x-y = 0 or 4x-y-4 = 0
5. The tangent equation of the curve y = X3 + X-2 parallel to the straight line y = 4x-1 is () A. 4x-y = 0b. 4x-y-4 = 0C. 4x-y-2 = 0d. 4x-y = 0 or 4x-y-4 = 0
6. If a tangent of the curve f (x) = x ^ 2 - 1 is parallel to the straight line y = 4x - 3, the tangent equation is obtained
7. The tangent equation of curve y = x3-2x2-4x + 2 at points (1, - 3) is () A. 5x+y+2=0B. 5x+y-2=0C. 5x-y-8=0D. 5x-y+8=0
8. Find the tangent and normal plane equation of curve y ^ 2 = 4x, z = 2x ^ 2 at point x = 1 I don't know whether to solve the plane equations of the two equations separately or whether the two equations are the same equation?
9. Finding function derivative y = e ^ sin2x
10. If the domain of function f (x + 1) is [0,1], then the domain of function f (3x-1) is [0,1]______ ．
11. The tangent equation of curve y = xex + 2x + 1 at point (0,1) is () A. y=-3x+1B. y=3x+1C. y=2x+2D. y=-2x+2
12. The tangent equation of the curve y = xex at x = 1 is___ ．
13. If f (x) - G (x) + X & sup2;, the tangent equation of curve Y-G (x) at point (1, G (1)) is y = 2x + 1 Let f (x) = g (x) + X2, the tangent equation of curve y = g (x) at point (1, G (1)) be y = 2x + 1, then the tangent equation of curve y = f (x) at point (1, f (1)) is y = 2x + 1-----
14. Let f (x) = g (x) + X2, the tangent equation of the curve y = g (x) at point (1, G (1)) be y = 2x + 1, then the slope of the tangent of the curve y = f (x) at point (1, f (1)) is () A. 4B. -14C. 2D. -12
15. Let the function f (x) = g (2x-1) + X, the tangent equation of the square curve y = g (x) at point (1, G (1)) be y = 2x + 1, then the tangent equation of the curve y = f (x) at point (1, f (1)) is y = 2x + 1 The tangent equation needs to be written in detail
16. Let f (x) = XG (x), the tangent equation of curve y = g (x) at point (2, G (2)) be y = 1-x, then the tangent equation of curve y = f (x) at point (2, f (2)) is y = 1-x
17. Let f (x) = 1 / 1 + SiNx, then its tangent equation at x = 0 is?
18. The tangent equation of F (x) = cosx at x = π / 6 and y = SiNx at a (π / 6,1 / 2) is I don't know much about it,
19. Given that f (x) = x ^ 3-3x, the function y = f (x) is tangent through point P (- 2,2), then the tangent equation is
20. -The value of 2Ab × (the second power of a, B + the second power of 3AB - 1)