Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point. 3 + 3x3 — бх? — 36х 4 f(x) = -
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A: Please refer the attached image for complete solution. THANK YOU.
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- Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.How are the absolute maximum and minimum similar to and different from the local extrema?Find the minimum and maximum value of the function on the given interval by comparing values at the critical points and endpoints: y = 2x2 + 4x + 5, [0, 2]
- find the minimum and maximum value of the function on. the given interval by comparing values at the critical points and endpoints. y = z5 − 80z, [−3, 3]Find the x coordinates of all critical points of the given function. Determine whether each critical point is relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method. g(x)=2x^3-6x+7 x=____(smaller value) x=____(larger value) Find the T coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, minimum, or neither by first applying the second derivative test, and, if the test fails, buy some other method. f(t)=-3t+3t
- Find the critical points for the function: f(x,y)=x3+y3-9x2-48y-3 and use the Second Derivative Test to classify each as a local maximum, local minimum, saddle point, or none of these.Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, minimum, or neither by first applying the second derivative test, and, if the test fails, by some other method. f(x) = 2x2 − 3x + 4 f has at the critical point x =Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method. g(x) = 2x3 − 6x + 9 g has at the critical point x = . (smaller x-value) g has at the critical point x = . (larger x-value