`L e tf(x)={x^3+x^2+3x+sinx|(3+s in1/x ,),x!=0. 0x=0` then the number of point where `f(x)` attains its minimum value is_____

Write the point where f(x)=x(log)_(e)x attains minimum value.

If f'(x)=3x^(2)sin x-x cos x ,x!=0 f(0)=0 then the value of f((1)/(pi)) is

If f'(x)=3x^(2)sin x-x cos x x!=0 f(0)=0 then the value of f((1)/(pi)) is

Let f(x)=int_(0)^(x)3^t(3^(t)-4)(x-t)dt, (x>=0) , if x=a is the point where f(x) attains its local minimum value then find the value of 3^a

If f(x)=|x^(2)-3x+2|+|sinx| then number of points where f(x) is not differentiable in [-pi,pi] is

In f (x)= [{:(cos x ^(3),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0):} then find the number of points where g (x) =f (|x|) is non-differentiable.

If x^(3)-3x+2>=0, then the minimum value of x is

f(x)=min{x-[x] ,1+[x] -x} x lies in [0,3] , p is the number of points where it is discontinous q is the numbers of points where it is not differentiable . then find the value of p+q