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WilsonWorla
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find all points on the curve y=x^33X where the tangent is parallel to the xaxis.
 one year ago
 one year ago
WilsonWorla Group Title
find all points on the curve y=x^33X where the tangent is parallel to the xaxis.
 one year ago
 one year ago

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nexis Group TitleBest ResponseYou've already chosen the best response.1
Take the derivative \[y=3x^23\] \[y(0)=3x^23\] when \[x=1,x=1\] Now find y's for x=1,1. Tangent is parallel to the xaxis at these points.
 one year ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.0
When in doubt always start with the derivative of the function. Hence if y = x³ − 3x dy/dx = 3x² − 3 where dy/dx is of course the instantaneous rate of change function (the slope function). Since the tangent to y is parallel to the xaxis, dy/dx = 0 ∵ the slope of the xaxis is zero (xaxis is horizontal and the slope of any horizontal line is zero). Thus dy/dx = 0 and since dy/dx = 3x² − 3, 3x² − 3 = 0 solving for x, we obtain x = ±1 when x = 1, y = 2 when x = 1, y = 2 ∴ the tangent to y = 3x² − 3 is parallel to the xaxis at the points (1, 2) and (1, 2)
 one year ago
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