Given the curve C: y = x ^ 3 + 2 and point P (1,3), then the tangent equation passing through point P and tangent to curve C is

. to find the derivative, let the intersection point be (x, x ^ 3 + 2), and use the equal slope to find the X of the intersection point;

RELATED INFORMATIONS

1. It is known that the equation of tangent of curve C, y = x ^ 3 + AX-8 at x = 2 is y = 15x + B (1) Finding the value of real numbers a and B (2) If the tangent l of curve C passes through point P (4 / 3, - 4), the equation of line L is obtained
2. 5 out of 18 plus 2 out of 27 plus 10 out of 27?
3. If the results of the following two questions are non-zero natural numbers, find the minimum value of R and S (1) r divided by 5 times 1 / 3 (2) 6 / 7 times s divided by 0.6 Want formula + answer
4. Spend time or money doing something
5. (3.91 + 3 / 7 + 6.09 + 6 / 7) * (2 / 8-1.125) Simple calculation
6. X divided by a quarter = half
7. An old man said, "add 17 to my age and multiply it by 1 / 4, then subtract 15 and divide it by 1 / 10. It's exactly 100 years old." how old is this old man this year? (note! We must use formula, not equation ~)
8. (3 and 3 / 11 × 25.8-3 and 3 / 11 × 16.76 + 18 / 35 × 19.6) × (1.25-7 / 12 + 5 / 36) × 1 / 29 It's not easy, but please hurry up
9. a. The difference between B and a is 737. A is divided by B to get 16, and the rest is 17. A =? B =?
10. 4:3-9:7 (8:1-2:4)
11. Given the function f (x) = x ^ 3-x, find the tangent equation of the curve y = FX at x = t
12. Given the curve y = 1 / 3x3 + 4 / 3 (1), find the tangent equation of the curve at point P (2,4) (2) find the tangent equation of the curve passing through point P (2,4)
13. If the axis of symmetry of the parabola y = AX2 + BX + C (a ≠ 0) is a straight line x = 2 and the minimum value is - 2, then the root of the equation AX2 + BX + C = - 2 about X is______ ．
14. It is known that the parabola y = AX2 + BX + C passes through the point (- 1,2) and the roots of the equation AX2 + BX + C are - 3,1 respectively Solving the parabola analytic formula Finding the coordinates of parabola vertex
15. If the image of parabola y = AX2 + BX + C is shown in the figure, then the root of the equation AX2 + BX + C-2 = 0 of X is (Note: the opening of the image is downward, the ordinate of the intersection with the Y axis is less than 2, and the symmetry axis is on the right side of the Y axis) A. There are two unequal real roots B. Real roots with two different signs C. There are two equal real roots D. There is no real root There are two intersections with the X axis
16. It is known that the two roots of the equation y = AX2 + BX + C are - 1 and 3 respectively. The parabola y = AX2 + BX + C has an intersection n (2, - 3) with the straight line y = KX + m passing through point m (3,2) (1) The analytic formula of straight line and parabola (2) The two intersections of the parabola and X-axis from left to right are a and B respectively, and the vertex is p. if q is the point on the parabola different from a, B and P, and the angle QAP is equal to 90 degrees, the coordinates of q-point can be obtained
17. It is known that f (x) = x ^ 3 + ax ^ 2 + BX + 3, and the tangent equation of curve y = f (x) at point (1, F1)) is 5x + Y-3 = 0 Finding the value of a and B
18. There is a parabola y = ax ^ 2 + BX + C, and the point (m, n) is a point on the parabola
19. It is known that the two roots of the equation AX2 + BX + C = 0 are negative 2 / 3 and 1 / 2 respectively, and the parabola y = AX2 + BX + C has an intersection Q (- 1, - 3) with the straight line passing through the point P (1,2 / 3). The analytic expressions of the straight line and the parabola are obtained
20. 25. The parabola y = - x2 moves upward by 4 units, and then moves to the right by M (M > 0) units, just passing through the origin. The parabola after translation intersects with the straight line y = 2x The parabola y = - x2 moves upward by 4 units, then moves to the right by M (M > 0) units, and then just passes through the origin. The translated parabola and the straight line y = 2x intersect at two points a and B (a is on the left side of B) (1) The analytical formula of parabola after translation (2) Finding the coordinates of two points a and B (3) Point P is a moving point on the parabola above the straight line y = 2x. Whether there is a maximum area of △ ABP, if there is a result, then the coordinates of point P can be obtained. If there is no reason, the area of △ ABP can be calculated, (4) Point q is a point in the coordinate plane. If △ ABQ is an isosceles right triangle and ∠ BAQ = 90 °, write directly the coordinates of the point Q satisfying the condition, and answer directly whether any of these points are on the parabola after translation?