Q 6. If the function f(x) = 2x - 9ax + 12a*x+1 has a local maximum at x x1 and a local minimum at x= x, such that x, x, then a is equal to (a) 0 (b) 1/4 (c) 2 (d) either (a) or (b)

Q: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: what is the maximum/minimum of: f(x)=5x3e-x on [-1,6]

A: Differentiate the given function with respect to x and find the critical points,

Q: Q1. Let f(x) = V2-x,g(x)=/5+x, then find the following : (1) (F-g)(- 1) (ii) (iii) domain of…

A:

Q: The absolute maximum of f(x) = 2x- 3x2/3 on -1,1| is Select one: O a. O b. -1 O c. 5 O d. 1

A:

Q: - h)? + k: a). f(x) = 2x² –12x+11; b) y = -r+x+:

A:

Q: 1 g(x) = /3 — х

A:

Q: Find the absolute maximum/minimum of function f(x) = x3 - 16x + 1 %3D

A: fx=23x3-16x+1 to find the critical points take derivative=0 ddx23x3-16x+1=0 ddx2x33-ddx16x+ddx1=0…

Q: Prove that the function f(x)  =x101  + x51  +x  +1 hasneither a local maximum nor a local minimum.

A:

Q: Find the absolute maximum and absolute minimum of the function f(r) =r² - 8z+7 over [1, 8].

A:

Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 4]

A: Use critical value and end points for absolute maxima and absolute minima.

Q: If a and b are positive numbers, find the maximum value of f(x) = x(8 – x)º on the interval 0 < x <…

A: Given: f(x)=xa(8−x)b To find the maximum value find all the critical points. Critical points are…

Q: f(x1, x2) = xỉ + 2.x1.x2 – 10x1 + 5x2

A: According to our company policy,  I am supposed to answer only one question at a time. For the rest…

Q: Find the local extrema for the function f(x) = -7x + x2. A. The local minimum is f ) 49 = - and…

A:

Q: ,x2

A:

Q: Find the maximum and minimum values of f(x) = x3 − 6x2 + 8 on the horizontal span of 0 to 10.

A: We're tasked with finding the maximum and minimum values of the function f(x)=x3−6x2+8 over the…

Q: Find where f(x) = 1-ax x(x-a)(x+b) is discontinuous.

A:

Q: Find the absolute maximum and absolute minimum of f(x) = -a-6r 6x-9r+3 on -3,0] %3D

A:

Q: Find the absolute maximum and absolute minimum of the function x³ 7x² 3 2 f(x) = = + 10x - 2 over…

A: