Engineering Board Exam Reviewer · Tangent and Normal Lines · easy

Find the slope of the tangent line to y=x3-2x at x=2.

1. 4
2. 10
3. 6
4. 12

Answer

B. 10

Solution

y'=3x2-2. At x=2: y'=12-2=10.

More Tangent and Normal Lines questions

1. Find the area of the triangle formed by the coordinate axes and the tangent line to y= 1x at x=2.
2. Find the equation of the tangent line to x2+xy+y2=7 at the point (2,1).
3. Find the points on y=x3-3x+1 where the tangent line is horizontal.
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5. At what point on the curve y=x2-4x+5 is the tangent line parallel to the line y=2x+1?
6. Find the equation of the normal line to y= x at x=4.
7. Find the equation of the tangent line to y=x2 at the point (3,9).

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