Question

f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either a number, I for , -I for- or DNE if the limit does not exist. (a) Calculate the first derivative of f. Find the critical numbers of f, where it is increasing and decreasing, and its local extrema. f'(x) = Critical numbers ar = Union of the intervals where f(x) is increasing Union of the intervals where f(x) is decreasing Local maxima x = (b) Find the following left and right-hand limits at the vertical asymptote x = -3.

Answer 1

In) = 6x² x2-9 f'(x) = {{g) 124 – 64724 -229) = 12x3-108x - 12X (ocz gy? t'(x) = -108 x S t *33)2 critical points f(x) = 0 X =0 ,3,-3 the .. ve

PAGE NO. lcony DATE: 1 increasing -0,0) decreassy (0) Local maxima at n=0 Local minima Nat denne n3th Him Tim 2 - 3 x²g 6(3-4)² = Lim 649+h264) ho (3-h) 9 no 19th-the) - Story 689 +63ch z oo h ( ^-6) ht - 6x9+ him hogo 61371)2 3th2g = tim6f9+17617- o fgth't 6h gl. so f(x) = -108 - 2x 427 1(0²9) 2 (0²93 -108 ( w²-9 - un?

PAGE NO. 100 DATE: I -374- -7799 -3/x?+9) = 0 --Hey 2 9 No - points No for Concare up & down. inflextion point Domain Range R=(3, 33 R R