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Question

Chrome-Take a Test Torrest tanner 6#10013 a Secure https://www.mathxl.com/Student/Player Test.aspx?testid 166940892&centerwin; yes nd syllab Math 1066 11 Fall2017 Quiz: Quiz 5 Time Limit: 00:35:00 Submit Quiz This Question: 2 pts 5 of 6 (4 complete) This Quiz: 8 pts possible Use the fact that the derrvative of the function g x)s/x graph of glx) at the point x-25 The equation of the tangent line is y- s g,(x)--tofind the equation of the tangent line to the (Simplify your answer) nts ons quizzes do ts Enter your ar n the box ace

Explanation / Answer

g(x) =sqrt x, g(25)=sqrt 25=5

g'(x)= 1/2 sqrt x

g'(25)= 1/2 sqrt 25= 1/2*5=1/10

using point slope form

y-y1=m(x-x1)

y-5=(1/10 )(x-25)

y= (1/10)x -(25/10) +5= (1/10)x +(25/10) =(1/10)x + (5/2)

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