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Popular >

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

Solution

extreme points

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

Solution

Minimum (- \frac{4}{5}, - \frac{56}{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 - 8 : - \frac{56}{5}

Minimum (- \frac{4}{5}, - \frac{56}{5})

Popular Examples

domain of f(x)=(2x)/(sqrt(3x^2-5))domain

f (x) = \frac{2 x}{3 x ^{2} - 5}

inverse of ln(4-x)inverse

ln (4 - x)

inverse of f(x)=-e^{8-x}inverse

f (x) = - e^{8 - x}

range of f(x)=(x+4)/(24-sqrt(x^2-49))range

f (x) = \frac{x + 4}{24 - x ^{2} - 49}

inverse of 0.2x^2 inverse

0.2 x^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=5x^2+8x-8 ?
The extreme f(x)=5x^2+8x-8 is Minimum(-4/5 ,-56/5)