7. f(x) = 2 – 15 xr – 6x² +x (a) Find the critical numbers. (b) Find the intervals of increase or decrease. (c) Find the local maximum and minimum values.
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A: As per the company's guidelines , we are supposed to answer only first question. Kindly re
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- How are the absolute maximum and minimum similar to and different from the local extrema?In the function: f(x)=(12−3x)e^x What are the critical numbers of the function? When is the function increasing and decreasing in interval notation? What are the x-coordinates of all local minimums and maximums?Find the critical point and determine if the function is increasing or decreasing on the given intervals. y = x^7/2- 7x^2, x > 0 critical point: c =
- A-Find the local minimum and maximum of f(x)=xe^3x using the first and second derivative test. B-Find the value of a so that the function f (x) = xeax has a critical point at x = 3.Find the critical points and determine if the function is increasing or decreasing at the given intervals. y = 3x^4 + 6x^3 Left critical point: c1 = Right critical point: c2 =f(x)=(x^2+10x+1)e^-x Find the critical points and determine whether it is a local maximum, local minimum or inflexion point
- The function y = 2x2 - ln 4x (x 7 0) has one minimum point. Find its first coordinate.Use algebraic methods to determine the critical value(s) of f(x)= x/(x^2-x-2). Give your answers in exact form.For function, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing. ƒ(x) = x2/3
- 1) Use the First Derivative Test to determine whether the function attains a local minimum or local maximum (or neither) at the given critical point y=x2/x+1, c=0 1a) find the critical points and the intervals on which the function is increasing or decreasing, and apply the First Derivative Test to each critical point y=x5/2-x2 (x>0)Identrify the critical points and find the maximum and minimum value on the given interval I. f(x) = x 3 - 12x + 3; I =[-3, 5]Find the minimum and maximum value of the function on the given interval by comparing values at the critical points and endpoints: y = x3 − 12x2 + 21x, [0, 2]
