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A tangent line approximation is a underestimation when…
Our function is concave up, because it is below the curve
A tangent line approximation is an overestimation when …
Our function is concave down, because our tangent line is above the curve
If the second derivative is positive for the interval of y then …
The function is concave up
If the second derivative of the function is negative for values of t within the integral then….
The graph is concave down and is a over approximation
ln |1| =
0
How do you find critical points
Critical points are found when the derivative is zero