If the function f(x) =`axe^(bx^(2))` has maximum value at x=2 such that f(2) =1 , then find the values of a and b

The function f(x)=x^(2)e^(x) has maximum value

The function f(x) = x^2, x inR has no maximum value.

The function f(x)=x^(2), x in R has no maximum value.

If y = (ax + b)/((x-1)(x-4)) has a maximum value at the point (2, -1) then find the values of a and b.

If Rolle's theorem holds for the function f(x)=ax^(3)+bx^(2)+5x+1, x in [1, 2] with c=(3)/(2) , find the values of a and b.

The function f(x) =x^3+ax^2+bx+c,a^2lt=3b has

The function f(x)=4x^(3)+ax^(2)+bx+2 has an extremum at (2,-2) , find the values of a and b . Show that , the function possesses a minimum value at the extreme point.

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