`f(x)={cos(pix)/2,x >0x+a ,xlt=0` Find the values of `a` if `x=0` is a point of maxima.

If f(x)={[cos(pix/2013),,x>0],[2x+a,,x<=0]} , Find the values of a if x=0 is a point of local maxima for f(x) .

If f(x)=x cos((1)/(x)),x!=0,f(x)=k,x=0 then find the value of k if f(x) is continous at x=0

If f(x)=x cos((1)/(x)),x!=0,f(x)=k,x=0 then find the value of k if f(x) is continous at x=0

Let f(x)={x^(2)|(cos)(pi)/(x)|,x!=0 and 0,x=0,x in R then f is

f(x)={(x+lambda)^(2),x<0 and cos x,x<=0 find possible values of a such that f(x) has local maxima at x=0.

Let f(x)={x^(2);x>=0ax;x<0 Find real values of a such that f(x) is strictly monotonically increasing at x=0

If f(x)={{:(-x^(2),,x >=0),((a^(2)-2a)+(b^(2)-2)x,,x < 0):} and x=0 is point of maxima, then a=

If int _(0)^(x^(2)) f(t) dt = x cos pix , then the value of f(4) is