Ex 6. Find the points at which the given function f has a local extremum: (i) f(x)=x²-11 on I = [-4,4]. (ii) f(x) = xr² - 12 on I = [-2,3]. (iii) f(x) = x(x-8)1/3 on I = [0,9].

Q: 1. Let f(x) = 2x² + 1 and g(x) = [x]. Find the following. (a). What is (f ○ g)(x) = f(g(x)) = = (b).…

A: We Know that,  Greatest Integer Function is a function that gives the greatest integer less than or…

Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: A function f(x) has an inflection point at (2,-2). Which of the following could NOT have been the…

A: We know that point of inflection can occur where the second derivative is 0. It is the point at…

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: Where does the graph of the function x* +x - 6 cross the x-axis? O At x = -6 O At x = -3 and x - 2 O…

A: We use condition if any graph cuts or crosses X-axis then y coordinate becomes 0.

Q: For the function Q(x) = 8e004. does Q-i exist? If yes, find it and then evaluate to 4 decimal places…

A: Calculation:The given function is Q(x) = 8e0.04x and the given point is x = 6.Substitute x = 6 in…

Q: Consider the following. f(x) = 2x/ 16 – x², [-4, 4]

A:

Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

A:

Q: 3. (a) Which of the following functions have 5 in their domain? f(x) = x² - 3x *- 5 h(x) = Vx - 10…

A:

Q: For the function f (x) = 2-x² – x² +x, (a) List the x values where = 0. (b) Are all of these values…

A: Consider the given function, f(x)=2x4-x2+x Find the first derivative of the given function,…

Q: For the function f(x) = 5x° -4x +2x + 3, findf "(x). Then find f"(0) and f"(4). f"(x) = Select the…

A: Double derivative

Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

A:

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: (x2 – 4x lx + 2 if x > 2 2. Let f(x) = f(x) = find f (5). %3D %3D if x < 2

A: This question is related to functions, We will solve it using given information.

Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

A:

Q: Consider the following function. f(x) = 5x/7^√2x+5 (a) State the domain of the given function using…

A: The given function is: fx=5x72x+5. To Do: (a) State the domain of f(x) using interval notation. (b)…

Q: f(x) = 2x – 9x² – 24x + 10 on the interval [-6, 10]. Find the average or mean slope of the function…

A: Given: f(x)=2x3-9x2-24x+10

Q: steps

A: