What is the critical f(x)=3x^{2/3}-2x,-1<= x<= 1 ?

The critical f(x)=3x^{2/3}-2x,-1<= x<= 1 is x=-1,x=0,x=1

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critical f(x)=3x^{2/3}-2x,-1<= x<= 1

critical points

f (x) = 3 x^{\frac{2}{3}} - 2 x, - 1 \leq x \leq 1

x = - 1, x = 0, x = 1

Solution steps

3 x^{\frac{2}{3}} - 2 x, - 1 \leq x \leq 1

Find where

f^{'} (x)

is equal to zero or undefined

x = 0

Identify critical points not in

f (x)

domain

Domain of

3 x^{\frac{2}{3}} - 2 x, - 1 \leq x \leq 1 : - 1 \leq x \leq 1

All critical points are in domain

x = 0

Evaluate interval endpoint

x = - 1 :

critical point

Evaluate interval endpoint

x = 1 :

critical point

x = - 1, x = 0, x = 1

5 x^{4} + 40 x^{3} + 75 x^{2}

f (x, y) = - x^{2} + y^{2} + 2 x - 4 y + 7

x - cos (x)

f (x, y) = x^{3} + 3 x y^{2} - 3 y^{2} - 3 x^{2} + 11

x^{2} - 32 x

What is the critical f(x)=3x^{2/3}-2x,-1<= x<= 1 ?
The critical f(x)=3x^{2/3}-2x,-1<= x<= 1 is x=-1,x=0,x=1