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WINSTONCH [101]
3 years ago
5

Find the points on the curve y = 2x3 + 3x2 − 12x + 1 where the tangent line is horizontal. (x, y) = (smaller x-value) (x, y) = (

larger x-value)
Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0
Thinking about the graph of y, the rate of change is zero whenever there is an extremum.

First, differentiate y.

y'=6x^2+6x-12

Next, find the zeros of y' by factoring.

6(x^2+x-2)=0 \\ x = -2, x = 1

Now, we substitute these x-values into the original equation to find the coordinates. 

(-2,21), (1,-6)
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