9:331 a myopenmath.com myOpenMath Home Calculus 1 Summer 2018> Assessment Extrem

Question

9:331 a myopenmath.com myOpenMath Home Calculus 1 Summer 2018> Assessment Extrema on an Interval Due in 14 hours, 26 minutes. Due Wed 06/20/2018 11:59 pm Questions C Q1 (0/10) Q2 (0/10)> Q3 (0/10) Q4 (0/10)Q5 (0/10)Q6 (0/10) Q7 (0/10Q8 (0/10)Q9 (0/10) Q 10 (0/10)Q 11 (0/10)Q 12 (0/10) Grade: 0/120 Print Version The function f() 2z -30z2 144z two critical numbers. 1 has The smaller one is x = Preview and the larger one is x = Preview Get help: Video License Points possible: 10 This is attempt 1 of 3. Message instructor about this question ???

Explanation / Answer

f(x)= 2x3-30x2+144x-1

f '(x) = 2(3)x2-30(2)x+144= 6x2-60x+144

Critical number, f '(x)=0

6x2-60x+144=0

6(x2-10x+24)=0

x2-10x+24=0

(x-4)(x-6)=0

x=4,6

The smaller one is x =4

The larger one is x = 6

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