Question

In: Math

1. If you only had a graph of the second derivative, how could you tell where...

1. If you only had a graph of the second derivative, how could you tell where the original function is concave down?

2. If you only had a graph of the second derivative, how could you tell where the first derivative had a local minimum?

Solutions

Expert Solution


Related Solutions

(a) How do you find the second derivative of a function? (b) If both are positive numbers, what does that tell you about the function itself?
  (a) How do you find the second derivative of a function? (b) If both  are positive numbers, what does that tell you about the function itself? (c) If we know that a function is increasing, but at a decreasing rate, what does that say about the first and second derivatives? (d) Come up with a function where the first and second derivatives are non-zero but the third derivative is zero.
What information about a graph can be found from the second derivative? Explain
What information about a graph can be found from the second derivative? Explain
How do you tell if a graph of a rational function has a hole in the...
How do you tell if a graph of a rational function has a hole in the graph or a vertical asymptote? Give an example of each case.
Find the local maximum and minimum values of the function. Tell the intervals where the graph...
Find the local maximum and minimum values of the function. Tell the intervals where the graph of the function is increasing and decreasing f(x)= 2x^3 +3x^2 - 12x
Suppose you had an inverted “U-shaped” function. Describe what the first and second derivatives would tell...
Suppose you had an inverted “U-shaped” function. Describe what the first and second derivatives would tell you.
1) The graph of the derivative f ' of a continuous function f is shown. (Assume...
1) The graph of the derivative f ' of a continuous function f is shown. (Assume the function f is defined only for 0 < x < ∞.) (a) On what interval(s) is f increasing? (2a) On what interval(s) is f decreasing? (b) At what value(s) of x does f have a local maximum? (2b) At what value(s) of x does f have a local minimum? x=? (c) On what interval(s) is f concave upward? (2c) On what interval(s) is...
Describe how you could use a turbidity measurement to tell how many colonies you would expect...
Describe how you could use a turbidity measurement to tell how many colonies you would expect from plating a culture of a given OD. Escherichia coli can grow at a higher temperature in a complex medium than in a defined medium. Why? What is Taq polymerase and why is important?
If given the spectra for 2-Heptanone and Heptanal, how could you tell which is which? If...
If given the spectra for 2-Heptanone and Heptanal, how could you tell which is which? If given the spectra for 2-Heptanone and Heptanoic Acid, how could you tell which is which? If given the spectra for Tetrahydrofuran and 2-heptanol, how could you tell which is which? If given the spectra for tetrahydrofuran and ethyl pentanoate, how couldm you tell which is which?
1. Explain how the first derivative test of a function determines where the function is increasing and decreasing.
  1. Explain how the first derivative test of a function determines where the function is increasing and decreasing.2. Explain how to apply the second derivative test.3. What is an inflection point?4. Why are special methods such as L'Hopital's Rules, needed to evaluate indeterminate forms?
How can you tell what kind of market structure something is by only looking at a...
How can you tell what kind of market structure something is by only looking at a graph that shows demand, marginal revenue (in the short and logn run) and marginal cost and average cost? What do you look for to determine the type of market structure that it is?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT