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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