Grade 11Differential Calculus
The point at which the tangent line to the curve is x^3 +y^3=a^3 is parallel to y-axis is?
The point at which the tangent line to the curve is x^3 +y^3=a^3 is parallel to y-axis is?
1 Answer
Arun
Dear student
find dy/dx
3 x^2 + 3 y^2 dy/dx = 0
hence
dy/dx = – x^2/y^2
now put this equals to infinity = 1/0 (parallel to y axis)
hence
– x^2/y^2 = 1/0
y^2 = 0
y = 0
now
x^3 = a^3
x = a
hence point will be (a, 0)
Regards
Arun (askIITians forum expert)
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