If f(x)= [ ² ] x+ [- ² ] x , then f^ (x) is, here [ ² ] and [- ² ] greatest integer function not greater than its value

Step-by-step solution

We have, ²=9.86 (nearly) aligned [- ² ] x &= [-9.86] x &= (-10) x= 10 x [ ² ] x &= [9.86] x= 9 x f(x) &= [ ² ] x+ [- ² ] x f(x) &= 9 x+ 10 x aligned On differentiating w.r.t. x , we get f^ (x)=9 9 x-10 10 x