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

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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) + ...

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