If`g(x)=int_0^x2|t|dt`,then (a)`g(x)=x|x|` (b)`g(x)` is monotonic (c) g(x) is differentiable at x=0 (d)`gprime(x)`is differentiable at x=0

If both f(x) and g(x) are non-differentiable at x=a then f(x)+g(x) may be differentiable at x=a

Let f(x)=|x| and g(x)=|x^3|, then (a)f(x)a n dg(x) both are continuous at x=0 (b)f(x)a n dg(x) both are differentiable at x=0 (c)f(x) is differentiable but g(x) is not differentiable at x=0 (d)f(x) and g(x) both are not differentiable at x=0

Let f(x)=|x| and g(x)=|x^(3)|, then f(x) and g(x) both are continuous at x=0 (b) f(x) and g(x) both are differentiable at x=0 (c) f(x) is differentiable but g(x) is not differentiable at x=0 (d) f(x) and g(x) both are not differentiable at x=0

For x in R ,f(x)=|log2-sinx| and g(x)=f(f(x)) , then (1) g is not differentiable at x=0 (2) g'(0)=cos(log2) (3) g'(0)=-cos(log2) (4) g is differentiable at x=0 and g'(0)=-sin(log2)

Consider the following for the following: Let f(x)={-2, -3<=x<=0; x-2, 0

If f(x)= int_(0)^(x)(f(t))^(2) dt, f:R rarr R be differentiable function and f(g(x)) is differentiable at x=a , then

The function g(x)=[x+b,x =0, can be made differentiable at x=0

If g(x)=int_(0)^(x)cos^(4)t dt, then g(x+pi) equals