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Popular >

extreme f(x)=-5x^2+4x-6

Solution

extreme points

f (x) = - 5 x^{2} + 4 x - 6

Solution

Maximum (\frac{2}{5}, - \frac{26}{5})

Solution steps

f^{'} (x) = - 10 x + 4

Find intervals:

Increasing

: - \infty < x < \frac{2}{5},

Decreasing

: \frac{2}{5} < x < \infty

Plug

x = \frac{2}{5}

into

- 5 x^{2} + 4 x - 6 : - \frac{26}{5}

Maximum (\frac{2}{5}, - \frac{26}{5})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-5x^2+4x-6 ?
The extreme f(x)=-5x^2+4x-6 is Maximum(2/5 ,-26/5)