Question 8 X Take the derivative of the function, set it equal to zero, solve for...
Find the derivative of the function at the given number. f(x) = x2 - 8 at 0 f(0) = [-/1 Points] DETAILS SULLIVANCALC2 2.1.027. Find the derivative of the function at the given number. f(x) = x at 25 f'(25) [-/1 Points] DETAILS SULLIVANCALC2 2.2.053. Find the derivative of the function. 2 f(x) x² f'(x) =
QueBLIUI JI JPLS Find the requested value of the second derivative of the function. f(x) = 7x2 + 9x - 3; Find f"(0). 14 00 -14 Question 32 5 pts Find the indicated absolute extren um as well as all values of x where it occurs on the specified domain f(x) = * x3 - 2x² + 3x - 4; (-2, 5] Minimum 0 -4 at x = 0 at x = -2 atx = 2 Question 33 5 pts...
12.1.19 Determine the location of each local extremum of the function. f(x) = -x - 3x + 9x - 5 What is/are the local minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. at x O A. The local minimum/minima is/are (Use a comma to separate answers as needed. Type integers or simplified fractions.) B. The function has no local minimum. 12.1.27 Find the location of the local extrema of the...
4. (a) A function f has first derivative f' (x) - and second derivative f"(x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f'(x), and the First Derivative Test to classify each critical point. 3 marks (iii) Use the second derivative to examine...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
(Product Rule) Use the Product Rule to find the derivative of the function. f(x) = (4x+5)(x2 -8) O a. 2x + 4 Ob. 12x² + 10x - 32 O c. 8x O d. 8x2 – 40
)and second derivative 4. (a) A function f has first derivative f'(x) f(E) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0, Q) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative [3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (ii) Use the second derivative to examine the concavity...
This is my question: 4. (a) A function f has first derivative f' (a) and second derivative a2 (x +3) 3 It is also known that the function f has r-intercept at (-3,0), f"(z) and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine 3 marks (ii) Use the f'(x), and the First Derivative Test to classify each critical point. [3 marks (iii) Use the second derivative to...
Step 4 of 8 | 7(1 - 7 cos ()) Set f'(x) = - sin?(x) equal to zero and solve for x. and Note that in order for f'(x) = 0, we must have 71 - 7 cos(x)) = sin?(x) + Submit Skip (you cannot come back)
4. (a) A function f has first derivative f'(x) and second derivative 2 f" (x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (iii) Use the second derivative to examine the...