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TN XII Math
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Differential Calculus Applications - I
Find the intervals on which $f$ is increasing or decreasing. $f(x)=x^{3}+x+1$
Note: This is part 3rd of a 6 part question, split as 6 separate questions here.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-7
p41
q5
q5-3
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asked
May 4, 2013
by
poojasapani_1
edited
Sep 11, 2013
by
sreemathi.v
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1 Answer
Toolbox:
(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 $I$
$f(x)= x^3+x+1$
$f'(x)=3x^2+1 > 0$ for all $ x \in R$
$\therefore f(x)$ is a strictly increasing function on $R$
answered
Jul 30, 2013
by
meena.p
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