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ec 3.1 - Derivative... X Stewart, Calculus:...Calculus I - The Definit.... C Che

ID: 2888895 • Letter: E

Question

ec 3.1 - Derivative... X Stewart, Calculus:...Calculus I - The Definit.... C Chegg Study Gui...x f (- U www.webassign.net/web/Student/Assignment-Responses/last?dep: 179243..3 Please try again (a) Find the derivative and second derivation of the position function, i.e. the equation of m derivative of the position function, v(t) #ste), and acceleration is the derivative of velocity (b) Evaluate a() in part (a) at the given time by replacing t with the given value. (c) Set v(t)=0 and solve for t. Evaluate a(t) at that time. Need Help? Read It Watch It Talk to a Tutor 11 #2 points SCalcET8 3.1.055. Find the points on the curve y = 2x3 + 3x2-12x+ 9 where the tangent line is horizontal. (x, y) (smaller x-value) = (larger x-value) Need Help?Road Ita Watch ItTalk to a Tutor Submit Answer Save ProgressPractice Another Version Submit Assignment |Save Assignment Progress Home My Assignments Extension Request TOSHIBA

Explanation / Answer

y=2x3+3x2-12x+9

dy/dx=6x2+6x-12

horizontal tangent means dy/dx=0

6(x2+x-2)=0

(x+2)(x-1)=0

x=-2,1

at x=-2

y=-16+12+24+9=29

at x=1

y=2+3-12+9=2

smaller value (-2,29)

larger value (1,2)