Question

Find the local maxima and local minima values of the function

f(x)=x3

-3x.​

Answer 1

Answer:

The function is defined as

f(x)={(2+x)3,x2/3,−3<x≤−1−1<x<2 

The function at x=−1 is continuous so it is differentiable.

f′(x)={3(x+2)232x−1/3−3<x≤−1−1<x<2

The highest degree of the differentiated equation is 2

So the function has 2 Local Max and Local min.

Answer 2

Answer:

x³-3x then dy/dx=3x²-3=>>>x=-1or +1....d²y/dx²==>>6x.....6>0 then...Min value when x=1 then min value is -2 and Max value x=-1 then value of Max is x=2