a) Find values of a and b such that the following function is differentiable everywhere: x...

 

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a) Find values of a and b such that the following function is differentiable everywhere: x<-1 (ах + b, lax3 + x + 2b, f (x) = (CLO-1) x > -1° b) Let f(x) = x(x² – 1) be a given function then i) FIND the intervals on which function is increasing and decreasing. ii) IDENTIFY function's local and global extremum. a) Find values of a and b such that the following function is differentiable everywhere: x<-1 (ах + b, lax3 + x + 2b, f (x) = (CLO-1) x > -1° b) Let f(x) = x(x² – 1) be a given function then i) FIND the intervals on which function is increasing and decreasing. ii) IDENTIFY function's local and global extremum.