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Popular >

extreme y=5x^2-3x-1

Solution

extreme points

y = 5 x^{2} - 3 x - 1

Solution

Minimum (\frac{3}{10}, - \frac{29}{20})

Solution steps

f^{'} (x) = 10 x - 3

Find intervals:

Decreasing

: - \infty < x < \frac{3}{10},

Increasing

: \frac{3}{10} < x < \infty

Plug

x = \frac{3}{10}

into

5 x^{2} - 3 x - 1 : - \frac{29}{20}

Minimum (\frac{3}{10}, - \frac{29}{20})

Popular Examples

extreme f(x,y)=(3x^2-y^2)e^{5x}extreme points

f (x, y) = (3 x^{2} - y^{2}) e^{5 x}

extreme f(x)=2x^3-24x-1 extreme points

f (x) = 2 x^{3} - 24 x - 1

extreme f(x,y)=2x^2+7y^2 extreme points

f (x, y) = 2 x^{2} + 7 y^{2}

extreme 5(5+x)^4 extreme points

5 (5 + x)^{4}

extreme f(x)=2-2x^2,-4<= x<= 1 extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme y=5x^2-3x-1 ?
The extreme y=5x^2-3x-1 is Minimum(3/10 ,-29/20)