On what values of x does the graph of

f(x) = 2x^3 - 3x^2 + 12x + 87 have a horizontal tangent?

1 answer

Take the derivative of the function because the derivative is equal to the slope of the tangent line.

a horizontal line has a slope of zero.

Set you derivative = 0 and solve for x. That should give you the correct value of x.
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