What is the extreme f(x)=x^3-15x^2+63x-15 ?

The extreme f(x)=x^3-15x^2+63x-15 is Maximum(3,66),Minimum(7,34)

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extreme f(x)=x^3-15x^2+63x-15

extreme points

f (x) = x^{3} - 15 x^{2} + 63 x - 15

Maximum (3, 66), Minimum (7, 34)

Solution steps

f^{'} (x) = 3 x^{2} - 30 x + 63

Find intervals:

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < 7,

Increasing

: 7 < x < \infty

Plug

x = 3

into

x^{3} - 15 x^{2} + 63 x - 15 : 66

Maximum (3, 66)

Plug

x = 7

into

x^{3} - 15 x^{2} + 63 x - 15 : 34

Minimum (7, 34)

Maximum (3, 66), Minimum (7, 34)

f (x, y) = \frac{8460}{x} + \frac{8460}{y} + 5 x y

f (x) = (85 - 0.05 x) - (600 + 35 x)

f (x) = 4 x^{2} - 24 x + 400

f (x, y) = - 5 x^{2} - 6 y^{2} + 5 x - 12 y + 5

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

What is the extreme f(x)=x^3-15x^2+63x-15 ?
The extreme f(x)=x^3-15x^2+63x-15 is Maximum(3,66),Minimum(7,34)