SOLUTION: Find the slope of the line tangent to the curve y^2=12x at (3,6)

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line tangent to the curve y^2=12x at (3,6)      Log On


   

Question 1084616: Find the slope of the line tangent to the curve y^2=12x at (3,6)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of the derivative at that point, it's the slope of the tangent line.
Implicitly differentiating,
2ydy=12dx
dy%2Fdx=6%2Fy
So at (3,6),
m=dy%2Fdx=6%2F6=1
Using the point slope form of a line,
y-6=1%28x-3%29
y-6=x-3
y=x%2B3
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