What is the extreme x^3+37x+250,1<= x<= 10 ?

The extreme x^3+37x+250,1<= x<= 10 is Minimum(1,288),Maximum(10,1620)

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extreme x^3+37x+250,1<= x<= 10

extreme points

x^{3} + 37 x + 250, 1 \leq x \leq 10

Minimum (1, 288), Maximum (10, 1620)

Solution steps

Find the critical points:

x = 1, x = 10

Domain of

x^{3} + 37 x + 250, 1 \leq x \leq 10 : 1 \leq x \leq 10

Find intervals:

Increasing

: 1 < x < 10

Plug the extreme point

x = 1

into

x^{3} + 37 x + 250 \Rightarrow y = 288

Minimum (1, 288)

Plug the extreme point

x = 10

into

x^{3} + 37 x + 250 \Rightarrow y = 1620

Maximum (10, 1620)

Minimum (1, 288), Maximum (10, 1620)

- 4 x^{2} + 6 x - 1

x e^{\frac{- x ^{2}}{2}}

f (x) = \frac{3 x + 5}{x - 4}

(2, - 3), (10, 7)

f (x) = - 7 + 6 x - x^{3}

What is the extreme x^3+37x+250,1<= x<= 10 ?
The extreme x^3+37x+250,1<= x<= 10 is Minimum(1,288),Maximum(10,1620)