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Popular >

extreme f(x)=5+(48)/x+3x^2

Solution

extreme points

f (x) = 5 + \frac{48}{x} + 3 x^{2}

Solution

Minimum (2, 41)

Solution steps

f^{'} (x) = 6 x - \frac{48}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

5 + \frac{48}{x} + 3 x^{2} : 41

Minimum (2, 41)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=5+(48)/x+3x^2 ?
The extreme f(x)=5+(48)/x+3x^2 is Minimum(2,41)