What is the extreme 2x^3-33x^2+60x+2 ?

The extreme 2x^3-33x^2+60x+2 is Maximum(1,31),Minimum(10,-698)

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extreme 2x^3-33x^2+60x+2

extreme points

2 x^{3} - 33 x^{2} + 60 x + 2

Maximum (1, 31), Minimum (10, - 698)

Solution steps

f^{'} (x) = 6 x^{2} - 66 x + 60

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 10,

Increasing

: 10 < x < \infty

Plug

x = 1

into

2 x^{3} - 33 x^{2} + 60 x + 2 : 31

Maximum (1, 31)

Plug

x = 10

into

2 x^{3} - 33 x^{2} + 60 x + 2 : - 698

Minimum (10, - 698)

Maximum (1, 31), Minimum (10, - 698)

f (x) = x^{4}

x e^{x}

\frac{4}{( x + 1 ) ^{2}}

f (x) = 3 - 2 x + 8

f (x) = x^{4} - 32 x^{2} + 9

What is the extreme 2x^3-33x^2+60x+2 ?
The extreme 2x^3-33x^2+60x+2 is Maximum(1,31),Minimum(10,-698)