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Trace or copy the graph of the given function f. (Assume that the axes have equal...
8. Trace the graph of the function and sketch a graph of its derivative directly beneath b) a) c) Use any differentiation formulas to find equations of the tangent line and normal line to the curve y at the given point P a) y (2x -3)2 at P (1,1) b) y (2+x at P (0,2) 9. 10. The graph of f is shown. a) State, with reasons, the numbers at which f is not continuous. b) State, with reasons, the...
Sketch the graph of y=f'(x)
13. Below you are given the graph of the function y(x). Use the graph to answer the questions that follow. y- . O-
13. The graph of f is shown. State, with reasons, the numbers at which f is not continuous. a) State, with reasons, the numbers at which fis not differentiable. b) 246 0 4 14. Trace the graph of the function and sketch a graph of its derivative directly beneath. a) b) c) 0 any differentiation formulas to find equations of the tangent line and normal line to the curve y at the given point P a) y (2x-3)2 at P-(1,...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
Sketch a graph of a function f having the given characteristics. f(0) = f(8) = 0 f'(x) < o if x < 4 f'(4) = 0 f'(x) > 0 if x > 4 f"(x) > 0
The following figure gives the graph of the derivative of a continuous function fthat passes through the origin. Sketch a graph of fon the same set of axes. Choose the correct graph below O C. O A. ○B.
The following figure gives the graph of the derivative of a continuous function fthat passes through the origin. Sketch a graph of fon the same set of axes. Choose the correct graph below O C. O A. ○B.
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The graph and equation of the function f are given. a. Use the graph to find any values at which f has a relative maximum, and use the equation to calculate the relative maximum for each value b. Use the graph to find any values at which f has a relative minimum, and use the equation to calculate the relative minimum for each value. fx)-2x3+3x2 -12x+7 I-5.5.1] by I-35,35,5] a. Select the...
Use the graph of the function f given below to answer the questions. Is there a local maximum at x-4? O Yes No If there is a local maximum at x =-4, what is it? Select the correct choice below and fill in any answer boxes within your choice 0 A. The local maximum is y= (Type an integer.) There is no local maximum at x =-4 10 10 0 B.
4. Consider the graph of the function f shown below. Use this graph to sketch the graphs of the following functions. To print an enlarged copy of the graph, go to the website www.mathgraphs.com (a) f(x) (c) 2f(x) 4 (d) fx) (f) f(x) (e) -f() (g) f(x) 2 4 -2 -4
1. Graph one period of the given functions below. You must use radian measure to graph and have numerical scales on both axes. Indicate any vertical asymptotes as dashed lines. Proper labeling is required for full points. a. y = 3 sin(2x – ) - 3 b. y = sec(2x + 1) c. y = tan(2x)