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Recent questions tagged exercise5-7

Find the intervals on which $f$ is increasing or decreasing. $f(x)=\sin^{4}x+\cos^{4}x $ in $ [0 , \large\frac{\pi}{2}]$

asked May 4, 2013 by poojasapani_1

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)=x+\cos x $ in $[0 , \pi ]$

asked May 4, 2013 by poojasapani_1

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)=x-2\sin x,[0 , 2\pi ]$

asked May 4, 2013 by poojasapani_1

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)=x^{3}+x+1$

asked May 4, 2013 by poojasapani_1

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)= x^{3}-3x+1$

asked May 4, 2013 by poojasapani_1

1 answer

Find the intervals on which $f$ is increasing or decreasing. $f(x)=20-x-x^{2}$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $\tan x + \cot x $ on $[0 , \large\frac{\pi}{2}]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $x \sin x$ on $[0 , \pi ]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $x(x-1)(x+1) $ on $[0 , 2 ]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $2x^{2}+x-5$ on $[-1 ,0 ]$

asked May 4, 2013 by poojasapani_1

2 answers

Which of the following function are increasing or decreasing on the interval given? \[\] $x\sin x$ on$ [0 , \large\frac{\pi}{4}]$

asked May 4, 2013 by poojasapani_1

1 answer

Which of the following function are increasing or decreasing on the interval given? \[\]$x(x-1)(x+1) $ on $[-2 , 1 ]$

asked May 4, 2013 by poojasapani_1

1 answer

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

asked May 4, 2013 by poojasapani_1

1 answer

Which of the following function are increasing or decreasing on the interval given? \[\]$2x^{2}+3x$ on $[-\large\frac{1}{2} ,\frac{1}{2}]$

asked May 4, 2013 by poojasapani_1

1 answer

Which of the following function are increasing or decreasing on the interval given? $x^{2}-1 $on$[0 , 1]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that $\log _e x $ is strictly increasing function on $(0 ,\infty)$.

asked May 4, 2013 by poojasapani_1

1 answer

Prove that $e^{x} $ is strictly increasing function on $R$.

asked May 4, 2013 by poojasapani_1

1 answer

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