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, A--- 9-- J um; vwlvulutul. ' _ 3 2 1. Gwen f(x) x + 5x 8x + 7. Use the Second Derivative Test to nd whether f has a local max1mum or a local minimum at x = 4. Justify your answer. 2. Given f (x) 2 \\/ x 2 sin x. Use the Second Derivative Test to nd whether f has a local . . . 7r . maxunum or a local m1n1mum at x = . Justify your answer. 6 On problems 3 5, find the critical points of each function, and determine whether they are relative maximums or relative minimums by using the Second Derivative Test whenever possible. 3. f(x)= x3 3x2 +3 4. f(x)=x+5 x 5. f(x)=sinxcosx, 03x32\" 6. Consider the curve given by x2 + 4 y?' = 7 + 3392. d_y_ 3 )2 2x dx 8 y 3x (b) Show that there 1s a point P with xcoordinate 3 at which the line tangent to the curve at P is horizontal. Find the ycoordinate of P. dy dx2 maximum, 3 local minimum, or neither at point P? Justify your answer. (a) Show that (c) Find the value 0