anonymous
  • anonymous
Find local min and max and the points of inflection for f(x)= 3(cos(x))^2 - 6sin(x)
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Do you know how to do the chain rule with respect to trig functions?
anonymous
  • anonymous
Example \[ \bigg(\cos^4(x)\bigg)^{\prime}=4\cos^3(x)\]
anonymous
  • anonymous
oh and generally \[\cos^2(x) = (\cos(x))^2\]

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anonymous
  • anonymous
?
anonymous
  • anonymous
let me write it correctly \[f'(x)=-6\cos(x)\sin(x)-6\cos(x)]\] that's better
myininaya
  • myininaya
\[\(cos^2(x))'=2\cos(x)(-\sin(x))=-2\cos(x)\sin(x)\]
myininaya
  • myininaya
@freewilly922 your example is a little off
anonymous
  • anonymous
mine was way off!
myininaya
  • myininaya
Corrected example from above: \[(\cos^4(x))'=4\cos^3(x)(-\sin(x))=-4\cos^3(x)\sin(x)\]
anonymous
  • anonymous
i just ate a mini kitkat

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