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Suppose that the only information we have about a function f is that f 1...

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Calculus

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Suppose that the only information we have about a function f is that f 1 7 and the graph of its derivative is as shown fo 2 2 3 x a Use a linear approximation to estimate f 0 9 and f 1 1 f 0 9 f 1 1 b Are your estimates in part a too large or too small Explain The slopes of the tangent lines are positive but the tangents are becoming less steep So the tangent lines lie above the curve f Thus the estimates are too small The slopes of the tangent lines are negative but the tangents are becoming steeper So the tangent lines lie below the curve f Thus the estimates are too small The slopes of the tangent lines are negative but the tangents are becoming steeper So the tangent lines lie below the curve f Thus the estimates are too large The slopes of the tangent lines are positive but the tangents are becoming less steep So the tangent lines lie above the curve f Thus the estimates are too large

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