1. Find the Intervals of Increase and Decrease for the function f(x)=x^2+5x-3
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1. Find the Intervals of Increase and Decrease for the function f(x)=x^2+5x-3
2. Find all the critical numbers of the function f(x)=x^3-12x-5
3.The revenue derived from the production of x units of a particular commodity is R(X)= (80x-x^2)/(x^2+80) million dollars. What level of production results in maximum revenue? What is the maximum revenue? Round numbers to two decimal places, if necesary.
4.Determine where the graph of f(x)= x^3-3x^2-9x+1 is concave down.
5. True or False: The inflection point of f(x) = x^3+6x^2-13 is (-2,3)
6.Locate all inflection points of f(x)= x^4+6x^3-24x^2+26.
7. The second derivative test reveals that f(x)= x^2-3 has what relative minimum and maximum? What is the point of inflection?
8.Use the second derivative test to find the relative maxima and minima of the function f(x) = 4x^3+6x^2-72x+3.
9. Sketch the graph of the given function. f(x) = (x+3)/(x+5)
10.Find the absolute maximum of the function f(x) = x^3 on the interval -1/2 ≤ x ≤ 1.
11.Find the absolute minimum of the function f(x) = x^3-3x^2 pn the interval -1≤ x ≤ 3.
12.The demand function for a certain commodity is D(p) = 30/(p+5). For what values of p is the demand inelastic?
2. Find all the critical numbers of the function f(x)=x^3-12x-5
3.The revenue derived from the production of x units of a particular commodity is R(X)= (80x-x^2)/(x^2+80) million dollars. What level of production results in maximum revenue? What is the maximum revenue? Round numbers to two decimal places, if necesary.
4.Determine where the graph of f(x)= x^3-3x^2-9x+1 is concave down.
5. True or False: The inflection point of f(x) = x^3+6x^2-13 is (-2,3)
6.Locate all inflection points of f(x)= x^4+6x^3-24x^2+26.
7. The second derivative test reveals that f(x)= x^2-3 has what relative minimum and maximum? What is the point of inflection?
8.Use the second derivative test to find the relative maxima and minima of the function f(x) = 4x^3+6x^2-72x+3.
9. Sketch the graph of the given function. f(x) = (x+3)/(x+5)
10.Find the absolute maximum of the function f(x) = x^3 on the interval -1/2 ≤ x ≤ 1.
11.Find the absolute minimum of the function f(x) = x^3-3x^2 pn the interval -1≤ x ≤ 3.
12.The demand function for a certain commodity is D(p) = 30/(p+5). For what values of p is the demand inelastic?
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