# This 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) %3

Question
166 views help_outlineImage TranscriptioncloseThis 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) %3D local minimum local 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) %3D local minimum local maximum (х, у) %3 fullscreen
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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... help_outlineImage TranscriptioncloseP'(x) 0 3x2-30x+74 0 30t-30)-4(3)(74) x=. 2(3) 30t900-888 x= 6 30+v12 6 30±23 x= 6 15-5 15+3 x= x= 5.6, x= 4.4 fullscreen

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MathCalculus

### Derivative 