What is the smallest value of a for which the inequality is observed for x> 0? what i thought is that i put x = 1 and solve it but did not work well
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You can rearrange to , then find the max value for the left hand side in the interval x>0. That max value is the value for a.
Originally Posted by ebaines You can rearrange to , then find the max value for the left hand side in the interval x>0. That max value is the value for a. hmmm i still dont get any progress :S
Originally Posted by Petrus hmmm i still dont get any progress :S Do you know how to find the max value of a function? Hint - start by finding where the derivative = 0....
Originally Posted by ebaines Do you know how to find the max value of a function? Hint - start by finding where the derivative = 0.... ok i got these x=1/6(sqrt(21)-3) x=1/6(-3-sqrt(21)) is this correct? ajnd what shall i do next
Originally Posted by Petrus is this correct? Yes, those are the values of x where the derivative is 0. But remember you only need worry about x>0. Originally Posted by Petrus what shall i do next Next step - what is the value of at this value of x? That's what 'a' is equal to.
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