max and min.

f(x)=sinx-cosx+√2x1.5 for pi4≤x≤5pi4. if M is maximum value of f(x) and m is minimum value of f(x) , find [2M5m] , where [ ] is box function.

9 Answers

1
fahadnasir nasir ·

box function!
what is this?!!

262
Aditya Bhutra ·

@fahad- box function→Greatest integer function

is the answer 4 ?

71
Vivek @ Born this Way ·

Aditya? How did you get it? Please tell.

1
Aritra Chakrabarti ·

yes the answer is 4. please post the solution.

1
fahadnasir nasir ·

Thank Aditya, it is 4 indeed

71
Vivek @ Born this Way ·

Would anyone post the solution please?

1
fahadnasir nasir ·

the best method for solution is to differentiate the function, then put dfdx =0, find it's roots
substitute in f(x), M and m determined
so the the expression is 4

71
Vivek @ Born this Way ·

That seemed lengthy to me. So I left it. Any other method?

1
fahadnasir nasir ·

not lengthy at all, it is just 5 lines not more

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