解:(1)由题f'(x)=3x2-6x+3a,故f'(①)=3a-3。又f(1)=1,所以所求的切线方程为y=(3a-3)x-3a+4;(2)f'(x)=3(x-1)2+3(a-1)(0≤x≤2),故1a≤0时,f(x)≤0,f(x)在[0,2]单减,故1f(x)lmx=max{1f(0)1,f(2)川}=3-3a;2 21-|||-a时,f(x)20,f(x)在[0...
结果1 题目If the function f(x) = x^3 - 3ax^2 + 3(a^2 - 1)x + 1 has both a maximum and a minimum, then the range of a is A. a < -1 or a > 1 B. -1 < a < 1 C. a = 1 D. -1 相关知识点: 试题来源: 解析 A。先求导得 f'(x) = 3x^2 - ...
已知函数f(x)=⎧⎩⎨⎪⎪⎪⎪⎪⎪x2−4x−2,ifx<2ax2−bx+3,if2⩽x<32x−a+b,ifx⩾3,求a,b的值,使得该函数在(−∞,+∞)内连续。 相关知识点: 试题来源: 解析∵函数f(x)=⎧⎩⎨⎪⎪⎪⎪⎪⎪x2−4x−2,ifx<2ax2−bx+3,if2⩽x<32x...
1.if ax-y-2=0 and bx-5y+11=0 intersect at the point (3,4),find the values of a and b.2.find the equation of the straight line through (3,-4) that is perpendicular to the line with x-intercept and y- intercept -2 and 5 respectively.3.find the acute angle between the straig...
Answer and Explanation:1 From the question, the given rational function is {eq}y = \dfrac{ax+b}{x+c}{/eq}. We also know that it has a horizontal asymptote of {eq}y = 2 {/eq}... Learn more about this topic: Asymptotes of Rat...
相关知识点: 试题来源: 解析 ax^3+bx^2+cx+d÷ (x-p)=ax^2+(b+ap)x+(c+bp+ap^2) with remainder d+cp+bp^2+ap^3f(p)=ap^3+bp^2+cp+d=0, which matches theremainder, so (x-p) is a factor of f(x).
百度试题 结果1 题目【题目】If x3+ax2+br+8 has two factors, x+1 and x+2,a+b=如果 x^3+ax^2+bx+8 有两个因式x+1和x+2,则a+b= 相关知识点: 试题来源: 解析 【解析】 21;21
13-|||-2-|||-13.译文:如果不等式-|||-3x-5-|||-x2+ax-3-|||-≥2的解集是(一3,一1]U-|||-[,1),那么参数a=-|||-解:原不等式等价于-|||--2x2+(3-2a)x+1-|||-x2+ax-3-|||-≥0,-|||-由不等式的解集是(-3,-1]U[2,1),知-|||-一3和1是方程x2+ax一3=0的...
Negative exponents: The power of the exponent is negative. Rational exponents: The power of the exponent is a rational number. Answer and Explanation:1 We are givenf(x)=(25x−8)(4x−6) Rewrite: f(x)=25×4x−8x−6 Multiply {eq}25 ...
If the function f(x) = ax^3 + bx^2 + cx + d has a local maximum at x = 1 and a local minimum at x = -1, which of the following must be true? A. a < 0 B. a > 0 C. b = 0 D. c = 0 相关知识点: 试题来源: ...