the curve y=x3+x2-x has two horizontal tangents. the distance between these two tangents is
GAYATRI RAMA SRIJA GUNDABATTULA , 4 Years ago
Grade 12
Analytical Geometry> the curve y=x 3 +x 2 -x has two horizonta...
2 Answers
Arun
Last Activity: 4 Years ago
y' = 3x^2 + 2x - 1
3x^2 + 2x - 1 = 0
(3x - 1)(x + 1) = 0
x = 1/3, -1
at x = 1/3,
y = 1/27 + 1/9 - 1/3
y = -5/27
at x = -1,
y = (-1)^3 + (-1)^2 - (-1)
y = 1
the distance is 1 - (-5/27) = 32/27 units, C
Vikas TU
Last Activity: 4 Years ago
Dear student
dy/dx = 3x^2 + 2x -1
from this x = -1, -1/3
y(-1) = 1
y(1/3) = -5/27
y = -5/27
distance = |1+5/27|= 32/27
dy/dx = 3x^2 + 2x -1
from this x = -1, -1/3
y(-1) = 1
y(1/3) = -5/27
y = -5/27
distance = |1+5/27|= 32/27
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