What is the extreme f(x)=x^3-9x^2+15x+5 ?

The extreme f(x)=x^3-9x^2+15x+5 is Maximum(1,12),Minimum(5,-20)

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extreme f(x)=x^3-9x^2+15x+5

extreme points

f (x) = x^{3} - 9 x^{2} + 15 x + 5

Maximum (1, 12), Minimum (5, - 20)

Solution steps

f^{'} (x) = 3 x^{2} - 18 x + 15

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 1

into

x^{3} - 9 x^{2} + 15 x + 5 : 12

Maximum (1, 12)

Plug

x = 5

into

x^{3} - 9 x^{2} + 15 x + 5 : - 20

Minimum (5, - 20)

Maximum (1, 12), Minimum (5, - 20)

f (x, y) = - x^{2} + 8 - y^{2}

f (x) = 2 x^{2} + \frac{28}{x}

f (x) = ln (x^{2} + 3 x + 7), - 2 \leq x \leq 2

g (x) = x^{3} - x^{2} - x + 3

f (x) = - x^{2} + 10 x - 21, 3 \leq x \leq 7

What is the extreme f(x)=x^3-9x^2+15x+5 ?
The extreme f(x)=x^3-9x^2+15x+5 is Maximum(1,12),Minimum(5,-20)