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Popular >

extreme f(x)=-5x^2+8x-7

Solution

extreme points

f (x) = - 5 x^{2} + 8 x - 7

Solution

Maximum (\frac{4}{5}, - \frac{19}{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 - 7 : - \frac{19}{5}

Maximum (\frac{4}{5}, - \frac{19}{5})

Popular Examples

extreme 14x(x^2-4)^6 extreme points

14 x (x^{2} - 4)^{6}

extreme x^4-4/3 x^3-12x^2 extreme points

x^{4} - \frac{4}{3} x^{3} - 12 x^{2}

extreme x^2-4x+12 extreme points

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extreme f(x,y)=7+4x^2+2y^2 extreme points

f (x, y) = 7 + 4 x^{2} + 2 y^{2}

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-5x^2+8x-7 ?
The extreme f(x)=-5x^2+8x-7 is Maximum(4/5 ,-19/5)