anonymous
  • anonymous
For the following function, find all its critical point(s) and its absolute extrema. [ Note: If there is more than one answer enter separated by commas.] f(x)=10sqrt(x^2+10)−3x0x14
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
please help because i need the answer now !
anonymous
  • anonymous
3x0x14?
anonymous
  • anonymous
Is that a zero-x in the second term?

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anonymous
  • anonymous
oh sorry its supposed to be 0<= x <=14
anonymous
  • anonymous
the equation ends at ....-3x
anonymous
  • anonymous
take the derivative. set it equal to 0. And solve for x to find the critical point
anonymous
  • anonymous
Check this point by plugging it into the original equations. Check the boundary points 14, 0 Compare each of these and figure out which gives the biggest value.
anonymous
  • anonymous
\[d/dx = \frac{(10 x)}{\sqrt(x^2+10)}-3 \]
anonymous
  • anonymous
Some ugly algebra but you can soldier through it.
anonymous
  • anonymous
can i pleaaaaase have the answer?
anonymous
  • anonymous
x = 3sqrt(10/91) <= it's pretty ugly which makes me think you mistyped the equation

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