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Question
At what point on the following curve, is the tangent parallel to x-axis y = x2 on [−2, 2]
?
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Solution
Let \[f\left( x \right) = x^2\]
Since \[f\left( x \right)\] is a polynomial function, it is continuous on \[\left[ - 2, 2 \right]\] and differentiable on \[\left( - 2, 2 \right)\] .
Consequently, there exists at least one point c
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