What is the extreme f(x)=-x^3+9x^2+165x-300 ?

The extreme f(x)=-x^3+9x^2+165x-300 is Minimum(-5,-775),Maximum(11,1273)

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extreme f(x)=-x^3+9x^2+165x-300

extreme points

f (x) = - x^{3} + 9 x^{2} + 165 x - 300

Minimum (- 5, - 775), Maximum (11, 1273)

Solution steps

f^{'} (x) = - 3 x^{2} + 18 x + 165

Find intervals:

Decreasing

: - \infty < x < - 5,

Increasing

: - 5 < x < 11,

Decreasing

: 11 < x < \infty

Plug

x = - 5

into

- x^{3} + 9 x^{2} + 165 x - 300 : - 775

Minimum (- 5, - 775)

Plug

x = 11

into

- x^{3} + 9 x^{2} + 165 x - 300 : 1273

Maximum (11, 1273)

Minimum (- 5, - 775), Maximum (11, 1273)

f (x) = \frac{1}{x}, 2 \leq x \leq 3

f (x) = x^{2} - 18 x + 86

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

\frac{- 3}{x - 4}

f (x, y) = x^{3} + y^{3} + 12 x y + 5

What is the extreme f(x)=-x^3+9x^2+165x-300 ?
The extreme f(x)=-x^3+9x^2+165x-300 is Minimum(-5,-775),Maximum(11,1273)