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Which of the following function are increasing or decreasing on the interval given? \[\]$e^{-x} $ on $[0 , 1 ]$

Note: This is part 3rd of a 5 part question, split as 5 separate questions here.

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  • (i) If $f'$ is positive on an open interval $I$. Then $f$ is strictly increasing on $I$
  • (ii) If $f'$ is negative on an open interval $I$, then $f$ is strictly decreasing on $I$
$f(x) =e^{-x} \;on\; [0,1]$
$f'(x)=e^{-x} <0$ for all $x \in R$
$\therefore \; f'(x)$ is strictly decreasing on $[0,1]$
answered Jul 30, 2013 by meena.p
 

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