Find the point of local maxima or local minima and the corresponding

1.	Find the point of local maxima or local minima and the corresponding local maximum and minimum value of the function: f(x) = (x – 3)4
Answer» It is given that f (x) = (x – 3)⁴ By differentiating w.r.t. x f’(x) = 4 (x – 3)³ We know that f’(x) = 0 By substituting the values 4 (x – 3)³ = 0 So we get x – 3 = 0 where x = 3 x = 3 is point of local minima and local minimum value is f (3) = 0

Find the point of local maxima or local minima and the corresponding local maximum and minimum value of the function: f(x) = (x – 3)4

Answer»

It is given that

f (x) = (x – 3)⁴

By differentiating w.r.t. x

f’(x) = 4 (x – 3)³

We know that

f’(x) = 0

By substituting the values

4 (x – 3)³ = 0

So we get

x – 3 = 0 where x = 3

x = 3 is point of local minima and local minimum value is f (3) = 0