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 1084617: Find the slope of the line tangent to the curve y^2=12x at (3,6)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y%5E2+=+12x+
+y+=+%28+12x+%29%5E%281%2F2%29+
+y%5B1%5D+=+%281%2F2%29%2A+%28+12x+%29%5E%28-1%2F2%29%2A12+
+y%5B1%5D+=+6%2A%28+12x+%29%5E%28-1%2F2%29+
at (3,6)
+y%5B1%5D+=+6%2A%28+12%2A3%29%5E%28-1%2F2%29+
+y%5B1%5D+=+6%2Fsqrt%2836%29+
+y%5B1%5D+=+6%2F6+
+y%5B1%5D+=+1+
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Here are plots of +y+ and +y%5B1%5D+