Asked by Laura

At what point of the curve y= x^4 is the normal line parallel to 2x + y = 3? Find the equation of the normal line.

Answers

Answered by Scott
the normal line is perpendicular to the tangent

the slope of the tangent is the 1st derivative

normal slope ... -2
tangent slope ... 1/2

1/2 = 4 x^3
... 1/8 = x^3
... 1/2 = x

point ... (1/2 , 1/16)

equation ... y - 1/16 = -2 (x - 1/2)
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