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Popular >

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

Solution

extreme points

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

Solution

Maximum (\frac{4}{5}, - \frac{9}{5})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{4}{5}

into

- 5 x^{2} + 8 x - 5 : - \frac{9}{5}

Maximum (\frac{4}{5}, - \frac{9}{5})

Popular Examples

extreme-2x^2-6x extreme points

- 2 x^{2} - 6 x

critical f(x)=(x^3)/(x^2-1)critical points

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

domain of x^2+3x+1 domain

x^{2} + 3 x + 1

inflection f(x)=3+4x^2-1/2 x^4 inflection points

f (x) = 3 + 4 x^{2} - \frac{1}{2} x^{4}

parity f(x)=x^3-1 parity

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-5x^2+8x-5 ?
The extreme f(x)=-5x^2+8x-5 is Maximum(4/5 ,-9/5)