Engineering Board Exam Reviewer · Tangent and Normal Lines · hard
Find the area of the triangle formed by the coordinate axes and the tangent line to y= 1x at x=2.
- 2
- 1
- 4
- 0.5
Answer
A. 2
Solution
At x=2: y= 12 and y'=-1/x2=- 14. The tangent is y- 12=- 14(x-2) y=- x4+1. Its intercepts are (4,0) and (0,1), so the area is 12(4)(1)=2.
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