What is the extreme 4-x^2,-1<= x<= 2 ?

The extreme 4-x^2,-1<= x<= 2 is Minimum(-1,3),Maximum(0,4),Minimum(2,0)

Popular >

extreme 4-x^2,-1<= x<= 2

extreme points

4 - x^{2}, - 1 \leq x \leq 2

Minimum (- 1, 3), Maximum (0, 4), Minimum (2, 0)

Solution steps

Find the critical points:

x = - 1, x = 0, x = 2

Domain of

4 - x^{2}, - 1 \leq x \leq 2 : - 1 \leq x \leq 2

Find intervals:

Increasing

: - 1 < x < 0,

Decreasing

: 0 < x < 2

Plug the extreme point

x = - 1

into

4 - x^{2} \Rightarrow y = 3

Minimum (- 1, 3)

Plug the extreme point

x = 0

into

4 - x^{2} \Rightarrow y = 4

Maximum (0, 4)

Plug the extreme point

x = 2

into

4 - x^{2} \Rightarrow y = 0

Minimum (2, 0)

Minimum (- 1, 3), Maximum (0, 4), Minimum (2, 0)

f (x) = e^{- x} + 4 x

2 x^{2} - 2 y^{2} - x^{4} - 2 x^{2} y^{2} - y^{4}

f (x) = x - ln (x), 0 \leq x \leq 2

f (x) = x^{3} - 24 ln (x) + 5

f (x) = 16 x + 19 x^{\frac{16}{19}}

What is the extreme 4-x^2,-1<= x<= 2 ?
The extreme 4-x^2,-1<= x<= 2 is Minimum(-1,3),Maximum(0,4),Minimum(2,0)