yushin1234567 yushin1234567

06-03-2017
Mathematics

Answered

Find all the values of x where the tangent line is horizontal.

2x^3+36x^2+192x+12

Verified Answer :

pdevereux pdevereux

06-03-2017

at x = -4 and -8
Take the derivative of the given equation to find rate of change of the graph.
f'(x) = 6x^2 + 72x + 192
At a horizontal tangent, f'(x) = 0, so set the equation equal to 0 and solve. Eventually you get x = -4 and -8

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