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CalculusQ&A LibraryThis exercise involves local maxima and minima of polynomial functions. A graphing calculator is recommended.(a) Graph the function P(x) = (x - 4)(x - 5) (x - 6) and find all local extrema, correct to the nearest tenth(х, у) %3Dlocal minimumlocal maximum(х, у) 3D(b) Graph the function Q(x) = (x - 4)(x - 5)(x - 6) + 7 and use your answers to part (a) to find all local extrema, correct to the nearest tenth.(х, у) %3Dlocal minimumlocal maximum(х, у) %3Question

Asked Nov 4, 2019

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Step 1

Given, function is

Step 2

Take function P(x) and find critical points,

Differentiate P(x) with respect to x,

Step 3

For critical points, take deriv...

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