Question

Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3. Tangent Line: y = 

          Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3.

Tangent Line: y =
Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3. Tangent Line: y =

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3 Tangent Line: y =
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Transcript

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00:01 So in order to do the tangent line, what you need to do first is find the point.
00:05 And i might even rewrite y equals as f of x equals just because i prefer function notation.
00:12 So the first thing you want to do is find out what f of 3 is, which the best you can do is just plug in 3 for x.
00:21 Because the next thing i need to do is figure out what f prime of x is.
00:26 And the rule for natural log is that derivative is 1 over x.
00:30 We still have that six in there, so time six.
00:34 So what's f prime of three? well, i'm plugging in three in for that x, and multiplying by six, six divided by three is two...
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