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  4. ' k ' is the least positive integer for which the function f ( x )=(2 x +1)50(3 x -4)60 is increasing in [ k , ∞). The value of ' k ' is

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Q. ' $k$ ' is the least positive integer for which the function $f ( x )=(2 x +1)^{50}(3 x -4)^{60}$ is increasing in $[ k , \infty)$. The value of ' $k$ ' is

Application of Derivatives

Solution:

Given, $ f ( x )=(2 x +1)^{50}(3 x -4)^{60}$
$f ^{\prime}( x )=220(2 x +1)^{49} \cdot(3 x -4)^{59}(3 x -1)$

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