If the image of the function f (x) = 1-ex intersects the y-axis at point P, then the equation of the tangent of the curve at point P is______ ．

From F (x) = 1-ex, we get that f (0) = 1-e0 = 0. Then f ′ (x) = - ex, f ′ (0) = - E0 = - 1. The tangent equation of F (x) = 1-ex at point P (0, 0) is y-0 = - 1 × (x-0), that is, x + y = 0. So the answer is: x + y = 0

RELATED INFORMATIONS

1. Find the inverse function of function y = ³ √ (x + √ (1 + X & #178;) + ³ √ (x - √ (1 + X & #178;))
2. The inverse function of the function y = x & # 178; + 1 (x ≥ 0) is sharp
3. What is the inverse function of y = x & # 178; + 1
4. Are y = x & # 189; and y = x & # 178; reciprocal functions
5. y=(e^x-e^-x)/2
6. Find the inverse function of y = (e ^ X-1 / e ^ x) / 2?
7. Find the inverse function of this function y = 1 / 2 (ex-e-x)? See the supplement for details Let's help
8. The inverse function of the function y = (e ^ x-e ^ (- x)) / 2 is? It's better to have a detailed solution~~
9. y=1/x^2(x>0) y=(1-x)/(1+x) y=(e^x-e^-x)/2
10. Given the function f (xsquare-3) = lgxsquare / (xsquare-6), find the inverse function of F (x)
11. The function f (x) = 12x2 + alnx (a ∈ R) is known. (I) if the tangent equation of the image of F (x) at x = 2 is y = x + B, find the value of a and B; (II) if f (x) is an increasing function at (1, + ∞), find the value range of A
12. The function f (x) = 12x2 − alnx (a ∈ R) is known. If the tangent equation of the image of function f (x) at x = 2 is y = x + B, the values of a and B are obtained
13. Given that the function f (x) = (x-1 / x = 1) ^ 2 (x ≥ 1) f ^ - 1 (x) is the inverse function of F (x), G (x)= Given the function f (x) = (x-1 / x = 1) ^ 2 (x ≥ 1), the (- 1 power) (x) of F is the inverse function of F (x). Remember g (x) = {the (- 1 power of 1 / F) [x]} + root x + 2 to find the definition domain of (1) f (- 1 power) and the minimum value of monotone interval (2) g (x). Please be patient and answer
14. If f (x) = (x-a + a) / (x-a), the symmetry center of the image of its inverse function is (m, 3), then a =?
15. If f (x) = (x-a + 1) / (x-a), the symmetry center of the image of its inverse function is (m, 3), then a =?
16. If the center of symmetry of the inverse function of the function y = M-X / x-m-1 is (- 1,3), then the real number m=
17. Why are the images of two inverse functions symmetric with respect to the line y = x;
18. Given quadratic function f (x) = ax ^ 2 + BX + 4, set a = {x | f (x) = x} If 1 belongs to a, and a is greater than or equal to 1 and less than or equal to 2, let the maximum and minimum values of F (x) in the interval [1 / 2,2] be m and m respectively, and let g (a) = M-M, and find the minimum value of G (a)
19. If the quadratic function f (x) = ax & # 178; + BX + C, f (- 1) = f (3) = 1, and the minimum value of F (x) is - 7, find the analytic expression of F (x)
20. Let f (x) = ax & sup2; + BX + C (a, B, C belong to R) satisfy the following conditions: (1) when x belongs to R, its minimum value is 0 and f (x-1) = f (- x-1) holds. (2) when x belongs to (0,5), X ≤ f (x) ≤ 2 | X-1 | + 1 holds. (1) find the value of F (1); (2) find the analytic expression of F (x); (3) find the largest real number m (M > 1) so that there exists t belongs to R, and f (x + 1) holds as long as X belongs to [1, M]