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Elina [12.6K]
3 years ago
8

The curve with equation y2 = x3 + 3x2 is called the tschirnhausen cubic. find an equation of the tangent line to this curve at t

he point (1, 2). y =
Mathematics
1 answer:
MAVERICK [17]3 years ago
5 0
First find the slope, take derivative of both sides with respect to x.  
2y dy/dx=3x^2+6x
solve for dy/dx
dy/dx=[3x^2+6x]/2y
plug in given vales of (1,2(
dy/dx=9/4

now you have everything you need to plug into point slope form
y-2=(9/4)(x-1)
answer is y=(9/4)x+(1/4)
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So the right options are:

y=-\frac{2}{5}x-1

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Further explanation:

Given equation of line is:

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Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

  • brainly.com/question/4464845
  • brainly.com/question/4522984

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