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Popular >

extreme 14x^2+(3500)/x

Solution

extreme points

14 x^{2} + \frac{3500}{x}

Solution

Minimum (5, 1050)

Solution steps

f^{'} (x) = 28 x - \frac{3500}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 5

into

14 x^{2} + \frac{3500}{x} : 1050

Minimum (5, 1050)

Popular Examples

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f (x, y) = x^{3} + y^{3} - 12 x - 3 y + 15

extreme f(x)=x^3+15^2 extreme points

f (x) = x^{3} + 1 5^{2}

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extreme f(x)=x^4-30x^2+29 extreme points

f (x) = x^{4} - 30 x^{2} + 29

extreme f(x,y)=e^{8x}-xy^3 extreme points

f (x, y) = e^{8 x} - x y^{3}

Frequently Asked Questions (FAQ)

What is the extreme 14x^2+(3500)/x ?
The extreme 14x^2+(3500)/x is Minimum(5,1050)