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Popular >

extreme f(x)=5x^2-2x-3

Solution

extreme points

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

Solution

Minimum (\frac{1}{5}, - \frac{16}{5})

Solution steps

f^{'} (x) = 10 x - 2

Find intervals:

Decreasing

: - \infty < x < \frac{1}{5},

Increasing

: \frac{1}{5} < x < \infty

Plug

x = \frac{1}{5}

into

5 x^{2} - 2 x - 3 : - \frac{16}{5}

Minimum (\frac{1}{5}, - \frac{16}{5})

Popular Examples

domain of f(x)=2sqrt(x+3)+5 domain

f (x) = 2 x + 3 + 5

range of e^{-y}+e^2 range

e^{- y} + e^{2}

extreme f(x)=4x^5-10x^4+2 extreme points

f (x) = 4 x^{5} - 10 x^{4} + 2

parity f(x)=3x^2+2x-1 parity

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

domain of y=-x^2+4x-5 domain

y = - x^{2} + 4 x - 5

Frequently Asked Questions (FAQ)

What is the extreme f(x)=5x^2-2x-3 ?
The extreme f(x)=5x^2-2x-3 is Minimum(1/5 ,-16/5)