The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be made about f and f' when x = -2. -10 -9 -8 8 7 y Graph of f' 6 5 4 -6-5-4-3-2 -1 3 2 1 2 3 4 5 6 7 8 9 10 -1 -3 -4 2345678 -5 -6 -7 -8 Value Feature Sign Change N/A f(-2) f'(-2) V
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- Graph of f" +x 8. The graph of f", the second derivative of the function f, is shown above. Which of the following could be the graph of f?The derivative of the function is equal to Select one: O a.e (2* In 2) b. e* (2* In 2 + 1) c. x(2* In 2 + 1) d. e"+*(2* In 2 + 1)Which defines as the process of finding the derivative of a function? *
- Sketch graph for f'(x)The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be made about f and f' when x = -2. y O 8 7 6 5 4 3 # 2 -10 -9 -8 -7 -6 -5 -4 -3 -2 -N 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 /1 -7 -8 Graph of f' ·XThe figure is the graph of the derivative, f', of a function f on [-4,4]. AA Determine the intervals on which f is increasing. (Use the symbol u for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) f is increasing on Determine the intervals on which f is decreasing. (Use the symbol u for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) f is decreasing on Determine the intervals on which f is concave down. (Use the symbol U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) f is concave down on Determine the intervals on which f is concave up. (Use the symbol U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) f is concave up on
- The figure is the graph of the derivative, f', of a function f on [-4,4]. A Determine the intervals on which f is increasing. (Use the symbol U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) f is increasing on Determine the intervals on which fis decreasing. (Use the symbol U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) f is decreasing on Determine the intervals on which f is concave down. (Use the symbol U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) f is concave down on Determine the intervals on which is concave up. (Use the symbol U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) fis concave up onHow can you sometimes identify a function ƒ(x) by knowing ƒ'and knowing the value of ƒ at a point x = x0? Give an example.Consider the function f and its derivatives below. f'(x) = -2(2³-32) (³+64)² 6x²(³-128) (3+64)3 f"(x) = f(x) = 3 +64 Fill in the table below. For answers that require intervals, use interval notation and write your answer as a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, if appropriate. Your answers must be exact or accurate to two decimal places. 2 1.26 38=2 4 1.59 16 2.51 √32 3.17 equations of vertical asymptote(s) of f: equations of horizontal asymptote(s) of f: f is decreasing on: f is increasing on: z-coordinate(s) of each local minimum of f: z-coordinate(s) of each local maximum of f: f is concave down on: f is concave up on: 01 x-coordinate(s) of each inflection point of f: √64=4 128 5.04 Sin den Ja
- How to use a graph of a derivative to determine the parent function.Explain how the first derivative of a function determines where the function is increasing and decreasing.Given that f(x) = 2x^3+9x^2-60x+70, find it's second derivative and its sign chart. Find when f is concave up, concave down, and its inflection point(s)