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Popular >

extreme 60x^2-20x^3

Solution

extreme points

60 x^{2} - 20 x^{3}

Solution

Minimum (0, 0), Maximum (2, 80)

Solution steps

f^{'} (x) = 120 x - 60 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 0

into

60 x^{2} - 20 x^{3} : 0

Minimum (0, 0)

Plug

x = 2

into

60 x^{2} - 20 x^{3} : 80

Maximum (2, 80)

Minimum (0, 0), Maximum (2, 80)

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inverse of f(x)=(x+16)^3 inverse

f (x) = (x + 16)^{3}

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f (x) = \frac{x ^{2} - 4}{x - 1}

Frequently Asked Questions (FAQ)

What is the extreme 60x^2-20x^3 ?
The extreme 60x^2-20x^3 is Minimum(0,0),Maximum(2,80)