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how to solve this? Grossmont Home Pa DWtAdvisorMainNAmbassadors wac Blackboard L

ID: 2888009 • Letter: H

Question

how to solve this?

Grossmont Home Pa DWtAdvisorMainNAmbassadors wac Blackboard Leam CR which Car Brands M O user Dashboard College Central Netw Workday chipote s Need Help? SCalcET8 27AE.005. 1/50 Submissions Used EXAMPLE 5 Find an equation of the tangent line to the parabola y = -6x + 8 at the point SOLUTION From the previous example, we know the derivative of fx)-2-6x + 8 at the number a is fa) 2a -6. Therefore the slope of the tangent line at (2, 0) is f(2) = 2(2)-6- X Thus an equation of the tangent line, shown in the figure, is or Need Help? Read it Talk to a Tutor Submit Answer Save Progress 11. O -3 points SCalcET8 27 AE.007. 0/50 Submissions Used My Notes Ask Your 6:39 | US

Explanation / Answer

f(x) =x² -6x +8

f'(x ) =2x -6

Slope of the tangent line at (2,0) is

f'(2) = 2(2) -6 = -2

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equation is

y -0 = -2 (x -2)

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or

y= -2x +4