If the line -4x+y=2 is tangent to the curve y=1/3x^3+c, find c

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asked Oct 11, 2018 191k views

1 Answer

Jesse Brown · Answer 1 · 2018-10-17T14:25:15+0000

The slope of the line is 4. y = 4x + 2
The slope of the curve is y' = x^2
So when y' = 4, x^2 = 4 and x = + or - 2
c is irrelevant as it just raises or lowers the curve in a transformation mode.
Therefore c can be any real number.

If the line -4x+y=2 is tangent to the curve y=1/3x^3+c, find c

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