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    Finding inflection points for functions

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    Find inflection points for the following functions:

    (1) f(x) = (x^2) * [e*(17x)]
    (2) f(x) = (x^2 - 4x + 40) * (x-2)

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    In general inflection points occur where the second derivative is zero.

    1. Find the second derivative of:
    f(x) = (x^2) * [e*(17x)]
    f'(x)=2x*exp(17x) + x^2*17exp(17x)
    f''(x)=2(exp(17x)+17xexp(17x))+17(2x*exp(17x) + ...

    Solution Summary

    The solution provides detailed explanations on deflection points and calculations for the problem.