Q3 pls answer fast Prove that f(x) = x [x] is increasing in [0, 1) - Maths - Application of Derivatives

Question

Q3 pls answer fast

Prove that f(x) = x – [x]
is increasing in [0, 1)

Roopam Pandey · Accepted Answer

Dear student,f(x)=x-[x]for inetrval [0,1)[x]=0⇒f(x)=x        f'(x)=1  >0f(x) is an inreasing function     for x∈[0,1)Regards

Q3 pls answer fast Prove that f(x) = x – [x] is increasing in [0, 1)