Question 1 - Select One It is given that for the function f(x)=x3−6x2+ax+b on [1,3], Rolle's theorem holds with c=2+1√3. The values of a and b, if f(1)=f(3)=0 are respectively, is A11, -6 B2,4 C3,2 DNone of the aboveSubmit ...
it is given for the function f(x)=x3−6x2+ax+b on [1,3],Rolle's theorem holds with c=2+1√3. Find the values of a and b if f(1)=f(3)=0 View Solution It is given that for the function f given by f(x)=x3+bx2+ax , x∈[1, 3] . Rolles theorem holds with c=2...
To find the corresponding y-values, you must substitute 1 and 3 for x in the original function and evaluate.f(1)=(1)^3-6(1)^2+9(1)-3f(1)=1f(3)=(3)^3-6(3)^2+9(3)-3f(3)=-3Therefore, the local extrema are located at (1,1) and (3,-3)....
解析 C。对函数求导得 f'(x) = 3x^2 - 12x + 9 = 3(x - 1)(x - 3)。令 f'(x) = 0,解得 x = 1 或 x = 3。分别计算函数在区间端点和极值点处的值,f(0) = 2,f(1) = 6,f(3) = 2,f(4) = 11。所以最大值为 11。
Question: The function f(x)=x3-6x2+13 has a zero in the interval 1,2. Using a first approximation of x1=1.5, use Newton's Method to find the next two approximations of the zero. Carry your answers out at least six decim...
Answer to: Find the derivative of the function. f(x) = x3 -6x2 + \frac{2}{ x^2} By signing up, you'll get thousands of step-by-step solutions to...
Answer to: Find F'(x) for the following function F(x) = -6x^2 - 4x, then find F'(3), F'(0) and F'(-9). By signing up, you'll get thousands of...
If the function f (x) = ax3 + bx2 + 11x - 6 satisfies the condition of Rolle's theorem in [1, 3] and f'(2 + 1 ... and 1 (c) 1 and -6 (d) -1 and 1/2
3. Given the function f: x→2x-3 and composite function fg :x→6x^2-4x+1 .Find(a)g(x),(b) the value of gf(-1).[4 marks]Answer :(a)(b) 相关知识点: 试题来源: 解析 f^(-1)(f(g(x))=f^(-1)(6x^2-4x+1) 反馈 收藏 ...
Answer to: Differentiate the function. g(x) = x^2 (1 - 9x) By signing up, you'll get thousands of step-by-step solutions to your homework...