anonymous
  • anonymous
how do you find critical number in calculus
Mathematics
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anonymous
  • anonymous
how do you find critical number in calculus
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[\sqrt{2-x}\]
anonymous
  • anonymous
Take the derivative with respect to x, then find where the derivative is 0 or undefined
anonymous
  • anonymous
\[d/dx[\sqrt{2-x}] = -1/(2\sqrt{2-x})\]

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anonymous
  • anonymous
The derivative can never be zero, so we need to next find if there is a point where it is undefined
anonymous
  • anonymous
in this case, at x = 2
anonymous
  • anonymous
This is a vertical tangent to the function
anonymous
  • anonymous
thanks

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