Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.) f(x)=x4/5-6 relative maximum relative minimum (x, y) = (x, y) =
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- How are the absolute maximum and minimum similar to and different from the local extrema?Find the critical points of the function. Then use the Second Derivative Test to determine whether they are local minima, local maxima, or saddle points (or state that the test fails). f (x, y) = x ln(x + y)Find the critical values of f then use the second derivative to determine if f has a relative maximum or relative minimum at each critical value.
- 3. Determine the critical points for the function below and use the second derivative test to decide if the point is a local maximum or a local minimum.Consider the function on the interval (0, 2?). f(x)= x/2+sin(x) b) Apply the First Derivative Test to identify the relative extrema. relative maximum (x, y) = relative minimum (x, y) =Find the critical points, use the second derivative test, and determine the relative maximum and minimum for each critical point found. y = 6√x - x
- Is this calculus statement true or false: "We can determine that h(x) =x^4 has a minimum at x= 0 using the second derivative test."Find the coordinates of the point (x,y) on the curve y=2x+1 that is closest to the point (6,3) .{ Hint: find the minimum of the square of the distance) . use a derivative test to verify that your answer is optimalFind all the critical points of function below and use second derivative test to label them f(x,y) = xln(x^2+y^2) Show all work by hand (or typed) and explain every step.
- Find the partial derivative! be sure to find f(x,0), differentiate f(x,0) and substitute 0 for x.An orchard has an average yield of 36 bushels of apples/tree if the density is 22 trees/acre. For each unit increase in tree density, the yield decreases by 2 bushels/tree. How many trees per acre should be planted in order to maximize the total yield? Justify your answer using the extreme value theorem or global first or second derivative test.for partial derivative symbol, use the letter d. given: (siny - ysinx) dx + (cosx +xcosy) dy = 0 find: -test for exactness -solve exact de -continue solution of de -final answer please solve with complete solution