If `y=alog|x|+bx^(2)+x` has extreme values at x = -1 and x = 2, find the values of a and b.

The function y=a log|x|+b x^(2)+x has two extreme values for x=-1 and x=2. Find the values of a and b.

If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then find a and b .

Let a, binR be such that the function f given by f(x)=ln|x|+bx^2+ax,xne0 has extreme values at x = -1 and x = 2 Statement 1:f has local maximum ar x=-1 and x=2. Statement 2: a=1/2 and b=1/4

If (x+1, y-2)=(3,1), find the values of x and y.

If (x+y,y-2) = (3,1), find the values of x and y.

a, b in RR be such that the function f given by f(x)=ln|x|+bx^(2)+ax,xne0 has extreme values at x=-1 and x = 2. Statement-I : f has local maximum at x = -1 and at x = 2. Statement-II : a=(1)/(2)" and "b=-(1)/(4) .

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 y=x/(x^2-x-2) , find the value of y_2 at x=1.

If 2x + 1/x = 2, then find the value of (x)/(2x^2+x+1) .

If (3x + 2y, 12) = (5, 2x-3y), find the value of x and y.