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We know that the function f (x) = 3 / 2x to the power of 3-2x-6x + 1 Given the function f (x) = the cubic power of 2x-2x-6x + 1 (1) Find the tangent equation of the curve f (x) at x = 0; (2) Find the maximum and minimum value of function f (x) in the interval [- 3,1],
F '(x) = 2x & # 178; - 4x-6 = 2 (x-3) (x + 1) 1, f' (0) = - 6, that is, the tangent slope k of the curve at x = 0 = - 6, the tangent point is (0,1), then the tangent equation is: 6x + Y-1 = 0; 2, f '(x) increases on [- 3, - 1], decreases on [- 1,1], and f (- 3) = - 17, f (- 1) = 13 / 3, f (1) = - 19 / 3, then
If the function f (x) = A & nbsp; x2 + 2x − 3 + m (a > 1) passes through the point (1,10), then M=______ ．
When x = 1, f (x) = A0 + M = 10, M = 10-1 = 9
If f (x) = the third power of x-x, the second power of X-1, then f (f (1))=
f(x)=x^3-x^2-1
f(1)=1^3-1^2-1=-1
f(f(1))=(-1)^3-(-1)^2-1=-1-1-1=-3
Given the cubic power of the function FX = 24x-2x (1), find the monotone interval of the function (2). When x ∈ [- 4,3], find the maximum and minimum of the function
f'=24-6x²=-6（x+2）（x-2）=0
X = - 2, or x = 2
f'>0
-2
The calculation result of 20082008 × 2007-20072007 × 2008 is ()
A. 0B. 2007C. 2008
20082008 × 2007-20072007 × 2008 = (20080000 + 2008) × 2007 - (20070000 + 2007) × 2008 = 20080000 × 2007 + 2008 × 2007 - (20070000 × 2008 + 2007 × 2008) = 20080000 × 2007 + 2008 × 2007-20070000 × 2008-2007 × 2008 = 0
As shown in the figure, ⊙ o diameter CD = 10, chord AB = 8, ab ⊥ CD, perpendicular foot m, find the length of DM
The diameter of connecting OA, ∵ o is CD = 10, ∵ OA = 5, ∵ chord AB = 8, ab ⊥ CD, ∵ am = 12ab = 12 × 8 = 4. In RT △ AOM, OM = oa2 − AM2 = 52 − 42 = 3, ∵ DM = od + om = 5 + 3 = 8
12 × 3.14 + 62 × 3.14 + 17 × 3.14 by factorization
Original formula = 3.14 (12 + 62 + 17)
=3.14x91
=3.14(100-9)
=314-28.26
=285.74
As shown in the figure, in △ ABC, ∠ BAC = 120 ° ad ⊥ BC is in D, and ab + BD = DC, then ∠ C=______ Degree
Cut off de = dB on DC, connect AE, let ∠ C = x, ∵ AB + BD = DC, de = dB, ∵ CE = AB, and ∵ ad ⊥ BC, DB = De, ∵ straight line ad is the vertical bisector of be, ∵ AB = AE, ∵ CE = AE, ∵ B = ∠ AEB, ∵ C = ∠ CAE, and
RELATED INFORMATIONS
- 1. If the x power of function FX = (x power of 4-b) / 2 is odd, then B=
- 2. For the function f (x), if there exists x0 ∈ r such that f (x0) = x0 holds, then x0 is called the fixed point of F (x). It is known that the two fixed points of F (x) = AX2 + (B-7) x + 18 are - 3 and 2 respectively: (I) finding the value of a, B and the expression of F (x); (II) finding the value range of F (x) when the domain of F (x) is [0,1]
- 3. For the function f (x), if there exists x0 ∈ r such that f (x0) = x0 holds, then x0 is called the fixed point of F (x). It is known that f (x) = AX2 + (B + 1) x + (B-1) (a ≠ 0) (1) When a = 1, B = - 2, find the fixed point of F (x)
- 4. We know that the function is an odd function on f (x) = AX3 + CX + D. when x = 1, we take the extremum - 2 and find the monotone interval and maximum of F (x)
- 5. F (x) = x ^ 3 + BX ^ 2 + CX + D (x belongs to R). It is known that f (x) = f (x) - f '(x) is an odd function and f (1) = t (T)
- 6. The function f (x) = ax ^ 3 + BX ^ 2 + CX + 3 defined on R satisfies the following conditions 1. F (x) is a decreasing function on (0,1) and an increasing function on (1, + OO) 2. F '(x) is even function 3. The tangent of F (x) at x = 0 is perpendicular to the line y = x + 2 Finding the analytic expression of function y = f (x) Let g (x) = 4lnx-m, if x belongs to [1, e], Let g (x)
- 7. Given that a, B and C belong to R, the function f (x) = ax ^ 3 + BX ^ 2 + CX satisfies f (1) = 0 Let the derivative of F (x) be f '(x), and f' (0) * f '(1) > 0 Finding the range of C / A
- 8. If y = f (x) satisfies f (a) · f (b) < 0 on [a, b], then y = f (x) has zero in (a, b) This sentence is wrong, but I want to know what is wrong
- 9. The zero point of function y = (AX-1) (X-2) is discussed
- 10. Try to discuss the number of zeros of function H (x) = f (x + 1) - G (x) in the interval (- 2,0) Given function f (x) = LG (x + 1) 1. If G (x) is an even function and G (x) = g (x + 2), when 0 ≤ x ≤ 1, G (x) = f (x), find the analytic expression of y = g (x) (x belongs to [- 2,0]; 2. Under the condition of (1), the number of zeros of the function H (x) = f (x + 1) - G (x) in the interval (- 2,0) is discussed
- 11. Why is the 2 / 3 power of function y = x not differentiable at x = 0?
- 12. Which function's derivative is the x power of y = 2 As soon as possible, thank you
- 13. Let a be greater than 0, - 1 ≤ x ≤ 1, the minimum value of function y = - x ^ 2-ax + B + 1 is - 4, and the maximum value is 0 I know that the axis of symmetry is negative, so when x = 1, the minimum is - 4, but the answer is that when x = - 1, the minimum is 0, which I don't understand
- 14. If the function f (x) = min {2x, x + 2, 10-x} (x ≥ 0), then the maximum value of F (x) is___ ．
- 15. Let min {x, y} denote the minimum value of X and y, for example, min {0,2} = 0, min {12,8} = 8, then the function y of X Let min {x, y} denote the minimum value of X and y, for example, min {0,2} = 0, min {12,8} = 8, then the function y of X can be expressed as ()
- 16. If the odd function f (x) = ax ^ 3 + (B-1) x ^ 2 + CX has an extreme value at x = 1, then 3A + B + C=
- 17. Given that the two extreme points of the function f (x) = ax ^ 3 + BX ^ 2 + CX + D are - 1 and 3, and f (0) = - 7, f '(0) = - 18, find the expression of F (x)
- 18. Given the function f (x) = x ^ 3 + BX + CX + 2, the extremum is obtained at x = 2 / 3 Determine the analytic expression of function f (x) and find the monotone interval of function f (x)
- 19. The function f (x) = ax + B, a, B ∈ R, when x is greater than or equal to - 1 and less than or equal to 1, the absolute value of F (x) is less than or equal to 1 It is proved that the absolute values of a and B are less than or equal to 1
- 20. Given the function f (x) = sin (2wx - π / 6) (W > 0), for any m belonging to R, the image of function y = f (x) (x belonging to [M, M + π]) and the line y = 1 have only one intersection, then w =?