Discuss the curve y = x^3/1+x^2 with respect to intervals of increasing and decreasing, local maximal...

Discuss the curve y = x^3/1+x^2 with respect to intervals of increasing and decreasing, local maximal and minimal points, intervals of concavity, and points of inflection. Use this information to sketch the curve.

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milcah answered 2 years ago

given the function y=x+cosx on the interval [0,2pi] find the intervals of increasing and decreasing, local...

given the function y=x+cosx on the interval [0,2pi] find the intervals of increasing and decreasing, local or absolute extrema(s), the intervals of concavity and the inflection points. use the information to sketch the graph of y=x+cosx on the interval [0,2pi]

f(x)= x5 − 5x Find the x− and y−intercept, critical numbers, increasing and decreasing intervals, local...

f(x)= x5 − 5x Find the x− and y−intercept, critical numbers, increasing and decreasing intervals, local minimum and maximum, f''(x), intervals of concavity up and down, and inflection points.

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find...

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find the local minimum and maximum points, if any, of f(x) = 2x3 – 15x2 + 36x – 14. 3) Find the inflection points, if any, of f(x) = 2x3 – 15x2 + 36x – 14. Give the intervals of concavity upward and downward for f(x). 4) Find the absolute maximum and minimum of f(x)= 2x3 – 15x2 + 36x – 14 on the interval...

For the function f(x)=x^5-5x^3 determine: a. Intervals where f is increasing or decreasing b. Local minima...

For the function f(x)=x^5-5x^3 determine: a. Intervals where f is increasing or decreasing b. Local minima and maxima of f, c. Intervals where f is concave up and concave down, and, d. The inflection points of f e. Sketch the curve and label any points you use in your sketch. For Calculus Volume One GIlbert Strange

find the intervals where g(x)=-3x(5x+2)7 is increasing and where it is decreasing.

find all intervals on which f(x)=x^3+6x^2+9x+1 is decreasing

a) Find the intervals over which f is increasing or decreasing. b) Find the local maximum...

a) Find the intervals over which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the concavity intervals and the inflection points. a. ?(?) = 2x 3 + 3? 2 − 26? b. ?(?) = 4x 3 + 3? 2 − 6? + 4 c. ?(?) = ? 4 − 2? 2 + 1

Suppose f ' (x) = x2 - 8x + 15 = (x - 3) (x - 5) (a) Identify the intervals of x-values on which f is increasing and the intervals on which f is decreasing.

Suppose f ' (x) = x2 - 8x + 15 = (x - 3) (x - 5)(a) Identify the intervals of x-values on which f is increasing and the intervals on which f is decreasing.(b) Locate where the local maximum point and the local minimum point occur.(c) Identify the intervals of x-values on which f is concave up and the intervals on which f is concave down.(d) Locate any points of inflection.

Suppose f(x)= 2x^3- 6x^2 + 1 For what x is f(x) increasing? decreasing? What are the...

Suppose f(x)= 2x^3- 6x^2 + 1 For what x is f(x) increasing? decreasing? What are the local minimum and maximum values of the function f (if any)?

Find the open intervals on which ff is increasing (decreasing). Then determine the x-coordinates of all...

Find the open intervals on which ff is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima) for all equations below. 1- f is increasing on the intervals: 2- f is decreasing on the intervals: 3- The relative maxima of f occur at x= 4- The relative minima of f occur at x= a) f(x)= x^3-9x^2+15x+10 b) f(x)= (x-2)/(x+4) c) f(x)= 4 - (8/x) + (8/x^2)

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