Questions in differentiation

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If $x-2y=4,$ the minimum value of $xy$ is
The minimum value of $2x+3y,$ when $xy=6,$ is
The function $f(x)=|px-q|+r|x|,$ $x\in (-\infty ,\infty )$ where $p>0,q>0,r>0$ assumes its minimum value only at one point if
The minimum value of function $f(x)=3{{x}^{4}}-8{{x}^{3}}+12{{x}^{2}}-48x+25$ on [0, 3] is equal to
The maximum value of ${{x}^{1/x}}$ is
The minimum value of $4{{e}^{2x}}+9{{e}^{-2x}}$ is
The point $(0,\,5)$ is closest to the curve ${{x}^{2}}=2y$ at
The maximum value of xy when $x+2y=8$ is
The minimum value of $P(1,\,1)$ is
If $P=(1,\,1)$ , $Q=(3,\,2)$ and R is a point on x-axis then the value of $PR+RQ$ will be minimum at

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