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)
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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