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Popular >

extreme f(x)=3x^2+5x-1

Solution

extreme points

f (x) = 3 x^{2} + 5 x - 1

Solution

Minimum (- \frac{5}{6}, - \frac{37}{12})

Solution steps

f^{'} (x) = 6 x + 5

Find intervals:

Decreasing

: - \infty < x < - \frac{5}{6},

Increasing

: - \frac{5}{6} < x < \infty

Plug

x = - \frac{5}{6}

into

3 x^{2} + 5 x - 1 : - \frac{37}{12}

Minimum (- \frac{5}{6}, - \frac{37}{12})

Popular Examples

extreme f(x)=x^3+12x^2-27x+8,-10<= x<= 0 extreme points

f (x) = x^{3} + 12 x^{2} - 27 x + 8, - 10 \leq x \leq 0

extreme x^2e^{-3x}extreme points

x^{2} e^{- 3 x}

extreme f(x)=4x^3-2x+3 extreme points

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

extreme f(x,y)=x^2+xy+y^2-16y+85 extreme points

f (x, y) = x^{2} + x y + y^{2} - 16 y + 85

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2+5x-1 ?
The extreme f(x)=3x^2+5x-1 is Minimum(-5/6 ,-37/12)