F [x] = e ^ ax LNX in the domain of definition is the range of increasing function to find a
When a = 0, e ^ AX = 1, ln (x) is an increasing function in the domain of definition, so f (x) = e ^ ax, LNX is an increasing function
When A0, e ^ ax is an increasing function, ln (x) is an increasing function, so f (x) = e ^ ax, LNX is an increasing function
So a > = 0
RELATED INFORMATIONS
- 1. Given the function f (x) = LNX + X & # 178; + ax (a ∈ R), if the function FX is an increasing function in its domain of definition, find the value range of A
- 2. Given function f (x) = INX, G (x) = ax ^ 2 / 2 + BX (a is not equal to 0) 1. If a = - 2, the function H (x) = f (x) - G (x) is an increasing function in its domain of definition, the value range of real number B is obtained 2. Under the conclusion of 1, let function ψ (x) = e ^ (2x) + be ^ x, X ∈ [0, in2], find the minimum value of function ψ (x) (the minimum value is represented by the formula containing B)
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- 4. The inverse functions of y = log (a) x + 1 and y = log (a) (x + 1) are?
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- 6. Given that y = 1 / 2x + A and y = BX-1 / 3 are inverse functions, then a + B =?
- 7. Given that the inverse function of the function y = 2x-a is y = BX + 3, then a=______ ;b=______ .
- 8. Know the original function, how to find the inverse function? For example: the original function is y = (3x + 1) / (X-2), how to find the inverse function is y = (2x + 1) / (x-3)
- 9. The inverse function y = (1-2x) / (1 + 2x), X belongs to R, and X is not equal to - 1 / 2?
- 10. The inverse function of y = e ^ 2x + 1 (∈ R) is
- 11. F (x) = LNX + x ^ 2 + ax, if f (x) is an increasing function in its domain of definition, how to find the derivative of a-
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- 13. Let f (x) = AX2 + BX + C (a, B, C ∈ R). If x = - 1 is an extreme point of the function y = f (x) ex, then the following image cannot be () A. B. C. D.
- 14. The function f (x) = loga (a-ka ^ x) and the domain of definition of function f (x) is a subset of set {X / X & lt; = 1}
- 15. The range of the square + 2x + 2 of the function y = x + 1 / X is
- 16. Let the left and right focus of the ellipse be F1, F2, and if there is a point P on the ellipse, let ∠ f1pf2 = 90, find the value range of E
- 17. Using trapezoidal method to calculate the approximate value of definite integral (accurate to 0.0001)
- 18. Use the image of quadratic function to find the square of the approximate root X of the following equation + 5x-3 = 0
- 19. Write a program, (C language) to find the root of the quadratic equation AX + BX + C = 0
- 20. If the slope of an asymptote of the hyperbola whose center is at the origin and focus is on the coordinate axis is 2 / 7, the eccentricity of the hypohyperbola can be calculated