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Popular >

extreme f(x)=5x^2-15x+3

Solution

extreme points

f (x) = 5 x^{2} - 15 x + 3

Solution

Minimum (\frac{3}{2}, - \frac{33}{4})

Solution steps

f^{'} (x) = 10 x - 15

Find intervals:

Decreasing

: - \infty < x < \frac{3}{2},

Increasing

: \frac{3}{2} < x < \infty

Plug

x = \frac{3}{2}

into

5 x^{2} - 15 x + 3 : - \frac{33}{4}

Minimum (\frac{3}{2}, - \frac{33}{4})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=5x^2-15x+3 ?
The extreme f(x)=5x^2-15x+3 is Minimum(3/2 ,-33/4)