If `f(x)=alog|x|+b x^2+x` has its extremum values at `x=-1a n dx=2,` then

If f(x)=a ln|x|+bx^(2)+x has its extremum values at x=-1 and x=2, then (A)a=2,b=-1(B)a=2,b=-1/2(C)a=-2,b=1/2'(D) none of these

If f(x)=a log|x|+bx^(2)+x has extreme values at x=-1 and at x=2, then find a and b.

If y=a log x +bx^(2)+x has its exteme values at x=-1 and x=2, then find a and b.

If the curve f(x)=x(x+3)e^(-(x)/(2)) has its local extremum at x=d then

Show that f(x)=1+x+x^2+x^3 has no local extremum.

Show that f(x)=sqrt(e^(x^(2))-1) has its extremum at x=0. Also mention whether it is a maximum or minimum.

Show that f(x)=x^3-3x^2+15x+2 has no local extremum.

The function f(x)=e^(x^(3)-6x^(2)+10) attains local extremum at x = a and x = b (a < b), then the value of a+b is equal to

Let f(x)=(x^(2)-1)^(n+1)+(x^(2)+x+1) Then f(x) has local extremum at x=1, when n is (A)n=2(C)n=4(B)n=3(D)n=5