What is the extreme f(x)=2x^3-21x^2+60x ?

The extreme f(x)=2x^3-21x^2+60x is Maximum(2,52),Minimum(5,25)

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extreme f(x)=2x^3-21x^2+60x

extreme points

f (x) = 2 x^{3} - 21 x^{2} + 60 x

Maximum (2, 52), Minimum (5, 25)

Solution steps

f^{'} (x) = 6 x^{2} - 42 x + 60

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 2

into

2 x^{3} - 21 x^{2} + 60 x : 52

Maximum (2, 52)

Plug

x = 5

into

2 x^{3} - 21 x^{2} + 60 x : 25

Minimum (5, 25)

Maximum (2, 52), Minimum (5, 25)

3 lo g_{\frac{1}{3}} (x) + 2

4 x + y = 1

- 2 x + 3

f (x) = 2 x^{3} - 54 x

x^{2} + 1

What is the extreme f(x)=2x^3-21x^2+60x ?
The extreme f(x)=2x^3-21x^2+60x is Maximum(2,52),Minimum(5,25)