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Tangent line

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What is the y coordinate of the point on the curve y = 2x^2 - 3x at which the slope of the tangent line is the same as that of the secant line between x = 1 and x = 2?

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Solution Summary

This shows how to find the point on the curve where the tangent line is the same as the given secant line.

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dy/dx = 4x - 3

the secant line b/w x=1 and x=2...

y(x=2) = 8-6 = ...

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