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November 24, 2014

November 24, 2014

Posted by **chelsea** on Wednesday, March 23, 2011 at 1:49pm.

- calculus -
**MathMate**, Thursday, March 24, 2011 at 1:06pmuse the product rule to calculate

q'(x)=4x3e^(-x)+x4*(-e^(-x)

= (4-x)x^3*e^(-x)

Since e^(-x)>0 on ℝ, this means

that q'(x) has zeroes at x=0 and x=4 only.

q'(5)=-125e^(-5)<0

which demonstrates that q(x) is strictly monotonically*decreasing*on [4,∞) and therefore...

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