Question

Show ALL work. Find and classify (determine if the point is a relative max/min) the critical points on the following curves. 1) y = 2x^3 - 6x. All values should be exact (no decimals). Your solution should have an x-value and y-value. You also need to classify the points. 2) f(x) = ln(x) - √(x). All values should be exact (no decimals). Your solution should have an x-value and y-value. You also need to classify the points. 3) Find the points of inflection for each. Exact values only (no decimals) a. f(x) = e^x - x^2 b. f(x) = x^4 - 6x^2 + 7x + 2 4) For each problem, find the open intervals on which the function is increasing and decreasing. All values should be exact (no decimals). You need to use the first derivative test in your work. a. g(x) = x^3 - 6x^2 + π b. h(x) = sin(x) * cos(x) + 5 on 0, 2π

          Show ALL work. 
Find and classify (determine if the point is a relative max/min) the critical points on the following curves.
1) y = 2x^3 - 6x. All values should be exact (no decimals). Your solution should have an x-value and y-value. You also need to classify the points.
2) f(x) = ln(x) - √(x). All values should be exact (no decimals). Your solution should have an x-value and y-value. You also need to classify the points.
3) Find the points of inflection for each. Exact values only (no decimals)
a. f(x) = e^x - x^2
b. f(x) = x^4 - 6x^2 + 7x + 2
4) For each problem, find the open intervals on which the function is increasing and decreasing.
All values should be exact (no decimals). You need to use the first derivative test in your work.
a. g(x) = x^3 - 6x^2 + π
b. h(x) = sin(x) * cos(x) + 5 on 0, 2π

Added by Emilia K.

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