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Popular >

extreme f(x)=2x^2+5(7-x)^2

Solution

extreme points

f (x) = 2 x^{2} + 5 (7 - x)^{2}

Solution

Minimum (5, 70)

Solution steps

f^{'} (x) = 14 x - 70

Find intervals:

Decreasing

: - \infty < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 5

into

2 x^{2} + 5 (7 - x)^{2} : 70

Minimum (5, 70)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=2x^2+5(7-x)^2 ?
The extreme f(x)=2x^2+5(7-x)^2 is Minimum(5,70)