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Popular >

extreme f(x)=5x^2+8x-2

Solution

extreme points

f (x) = 5 x^{2} + 8 x - 2

Solution

Minimum (- \frac{4}{5}, - \frac{26}{5})

Solution steps

f^{'} (x) = 10 x + 8

Find intervals:

Decreasing

: - \infty < x < - \frac{4}{5},

Increasing

: - \frac{4}{5} < x < \infty

Plug

x = - \frac{4}{5}

into

5 x^{2} + 8 x - 2 : - \frac{26}{5}

Minimum (- \frac{4}{5}, - \frac{26}{5})

Popular Examples

inflection (x-5)^2 inflection points

(x - 5)^{2}

periodicity of y=tan((5x)/6)periodicity

y = tan (\frac{5 x}{6})

critical f(x)=0.09x^2+17x+350 critical points

f (x) = 0.09 x^{2} + 17 x + 350

inverse of z/((z+1)^2)inverse

\frac{z}{( z + 1 ) ^{2}}

asymptotes of (4x^2-9)/(2x-3)asymptotes

\frac{4 x ^{2} - 9}{2 x - 3}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=5x^2+8x-2 ?
The extreme f(x)=5x^2+8x-2 is Minimum(-4/5 ,-26/5)