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Find an equation of the tangent line to the graph of the function at the point (9, 1). y = 9^{x - 9} y(x) = 

          Find an equation of the tangent line to the graph of the function at the point (9, 1).
y = 9^{x - 9}
y(x) =
Find an equation of the tangent line to the graph of the function at the point (9, 1). y = 9^x - 9 y(x) =

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find an equation of the tangent line to the graph of the function at the point (9, 1). y = 9^(x - 9) y(x) =
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Transcript

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00:01 Here, we're given the equation y, which is equal to 9 to the x minus 9.
00:07 And we want to find the equation of the tangent line to the graph at the point 9 comma 1.
00:12 So first off, we can verify that it goes through the point 9 comma 1, because if i plug in 9, i get 9 to the 0, which is 1.
00:21 So next, i'm going to use y equals y0 plus m times x minus x not.
00:27 And that will be my answer.
00:28 I just have to find why not, x not, and m.
00:31 Well, x not and y not were directly given to me.
00:33 So all i really have to find is m...
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