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Instructions if you are asked to find a function enter a function. If you are asked to find of values, enterether a number, a list of number separated by commas, or None if there aren't any solutions. Useinen noin you we asked to find an interval or union of intervals, and enter the interval is empty. Calculate the first derivative of And the critical numbers of where it is increasing and decreasing, and its local extrema by Critical numbers c) Increasing on the interval d) Decreasing on the interval (6) Local maximar- in Local minima

Answer 1

= 2 그 Cowb_u'(4) 4(x)2 Giren function is fx)= 2 (a) f '(x) = 1 [ 2 2 2 2 2 2 C - a] apply reciprocal + (-१) rule (x²_9) ² 26 daca?) - daca)) (n²_a) ² Exm] =nanal 2(2x 0) (n²_q) ² (b) to find critical points flex)=0 Z power rule .hx (2²9) ► प (©) 20 azo (n²-902 critical Number azo -tex f (x) = 22 (1)>0, az-3 fia)<o Xa3 (129) ² is always positive intervals of increase (-2,-3) (x²-932f

Decreasing on interval (0,3) 0 (3,0) interval sign result Increasing Ineseasing 1-3, o) tre decreasing se (0,3) (مم re decreasing (3, (e) Local marcina at a=0 f(0) = 2 this sa zo (6) 2_9 is local maxima at Tnzo (4) Local minima No localminina