anonymous
  • anonymous
f(x)=x^4-14x^3+72x^2+9x-10 find the largest interval on which f(x) is concave downward. If we write the interval as (a,b), find a and b
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
in other words, find the 2 inflection points
amistre64
  • amistre64
set f'' to 0 and that should do it for this ....
anonymous
  • anonymous
okay can you just tell me how to do it. i dont understand you

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amistre64
  • amistre64
if the site doesnt die on me i might be able to scrounge up someting :)
amistre64
  • amistre64
\[\frac{d^2}{dx^2}x^n\to n(n-1)x^{(n-2)}\] is all you are doing to this
amistre64
  • amistre64
\[f(x)=x^4-14x^3+72x^2+9x-10\] \[f''(x)=4.3x^2-14.3.2x+72.2.1x0+9.1.0 -10.0.-1\] \[f''(x)=12x^2-84x+142\] set that to zero and they should define your interval of concavity
amistre64
  • amistre64
might be able to factor out a few things to get the numbers down too
amistre64
  • amistre64
6,24,72 3,12,35 f'(x) = 3x^2 -12x +35

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