Determine the domain of the function. Find the derivative of the function. Set the derivative equal to 0, and solve forxto find the critical points of the function. Use the critical points to break the domain up into intervals, and pull a test point from each ...
Find the interval of decreasing or increasing for the function f(x) = x^4-4x^3+4x^2-6? Find the intervals on which f(x) is increasing and the interval on which it is decreasing. f(x) = x^2 \ln x^2 + 1 f(x) = x^3 - 9x^2 -...
英语翻译1.state the intervals on which each function is increasing,decreasing or constant2.find a formula to stretch the graph vertically by a factor of 23.find a formula to compress the graph of f(x)=x vertically by a factor of 2 followed by a reflection about the x-axis 相关知识点:...
In summary, to find the intervals where the function is increasing and decreasing, you would need to find the first derivative and then solve the resulting 3rd order equation. This can be done by creating a sign chart of the first derivative and finding the critical points. One of th...
英语翻译1.state the intervals on which each function is increasing,decreasing or constant2.find a formula to stretch the graph vertically by a factor of 23.find a formula to compress the graph of f(x)=x vertically by a factor of 2 followed by a r
Example 8: Finding Local Extrema from a Graph Graph the function f(x)=2x+x3f(x)=x2+3x. Then use the graph to estimate the local extrema of the function and to determine the intervals on which the function is increasing. Solution Using technology, we...
Intervals on Which a Function Is Increasing or Decreasing In Exercises 11-18, find the open intervals on which the function is increasing or decreasing. 11. g(x)=x2−2x−8 12. h(x)=12x−x3 13. y=x16−x2 14. y=x+x9 15. f(...
To solve the problem of finding the intervals in which the function f(x)=x3+1x3 (where x≠0) is increasing or decreasing, we will follow these steps: Step 1: Find the derivative of the functionFirst, we need to differentiate the function f(x). ...
Similar Questions Find the intervals in which the function f(x)=2x3+9x2+12x+20 is increasing and decreasing. View Solution Find the intervals in which the function f(x)=2x3+9x2+12x+20 is (i) increasing (ii) decreasing View SolutionKnowledge...
Singular strictly increasing functions and a problem on partitions of closed intervalssingular functionCantor setperfect setheavily intermittent partitionBorel setLebesgue measurable setcompletely additive functionWe establish that the problem of constructing a strictly increasing singular function is equivalent to...