Masaken
Unknown Member
are you able to tell just from a given equation of a curve whether it has a vertical tangent or cusp?? if so, how?
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vertical tangents and cusps (1 Viewer)
- Thread starter Masaken
- Start date
chilli 412
oo la la
- Joined
- Apr 13, 2022
- Messages
- 250
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- Male
- HSC
- 2023
if there are any vertical asymptotes in a function you cant take the derivative there, also if you take the derivative of a function and then plug in an x value where you end up with a zero in the denominator youll end up with a vertical tangent, e.g f(x) = x^(1/3)
f'(x) = 1/(3x^(2/3)), and f'(0) is undefined other than that its hard to tell from an equation
f'(x) = 1/(3x^(2/3)), and f'(0) is undefined other than that its hard to tell from an equation