one step equations solving for x

For a differentiable function f (x), find f '(x). Equate it to zero. Solve the equation f '(x) = 0 to get the Critical values of f (x..

Find f '(x..

We have to choose two positive numbers. Let the two positive numbers be x and y. This x and y are decision variable..

Show the function f (x) is continuous on the closed interval [a, b..

In the expansion of (1+x) n , the (r+1)th term is equal to..

Multiplying by 4 times the coefficient of x 2 on both sides i.e., 4..

To maximise Z draw a line parallel to ax + by = k and farthest from the origin. This line should contain at least one point of the feasible region. Find the coordinates of this point by solving the equations of the lines on which it lies. To minimise Z draw a line pa..

Check if f (a) = f (b) If all the above condition are satisfied, then Rolle's theorem is applicable else the Rolle's theorem is not applicable. If Rolle's theorem is applicable, solve f '(c) = 0. Show that one of these roots lie in the open interval (a, b..

f ' (x) = (x - 6) (x - 4) + (x - 4) (x - 8) + (x - 6) (x - 8) f '(x)= (x 2 -10x + 24) + (x 2 - 12x + 32)+ (x 2 - 14x + 48) = 3x 2 - 36x..

The Boolean function can be written as: f(x 1 , x 2 , x 3 ) = x 1 x 2 x 3 + x 1 x 2 x 3 ' + x 1 x 2 ' x 3 + x 1..