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

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

The function y=x^(4)-8x^(3)+22x^(2)-24x+10 attains local maximum or minimum at x=a, x=b and x=c (a < b < c) .Then a-2b+c=

Find the points at which the function f(x)=x^3-6x^2+9x+15 attain local maxima and local minima

The function y=x^(4)-8x^(3)+22x^(2)-24x+10 attains local maximum of minimum at x=a, x = b and x = c (a lt b lt c) . Then a, b and c are in

The function y=x^(4)-8x^(3)+22x^(2)-24x+10 attains local maximum of minimum at x=a, x = b and x = c (a lt b lt c) . Then a, b and c are in

If the function f(x)=2x^3-6x^2-18x has local maxima at x=a and local minima at x=b and the area bounded by y=f(x) from x=a to x=b is A. Then find the value of 4A

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

If a differentiable function f(x) attains a local extremum at x=a , then -

Find the points at which the functions f(x) = -(x-1)^(3)(x+1)^(2) attain local maxima and local minima. Also find these values.