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Tangent Line: Derivatives

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See the attached file.

Find the derivative of the function.
f(x) = (1 - e-2x)8
f '(x) =

Find the derivative of the function.

f '(x) =

Find the derivative of the function.

f '(x) =

Find an equation of the tangent line to the graph of y = e-x2 at the point (3, 1/e9).
y =

Find an equation of the tangent line to the graph of f(x) = ex/2 ln(x) at its inflection point. (Hint: Show that (1,0) is the only inflection point of f.)
y =.

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Solution Summary

The solution determines tangent line derivatives.

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