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Popular >

extreme y=-5x^2-6x+2

Solution

extreme points

y = - 5 x^{2} - 6 x + 2

Solution

Maximum (- \frac{3}{5}, \frac{19}{5})

Solution steps

f^{'} (x) = - 10 x - 6

Find intervals:

Increasing

: - \infty < x < - \frac{3}{5},

Decreasing

: - \frac{3}{5} < x < \infty

Plug

x = - \frac{3}{5}

into

- 5 x^{2} - 6 x + 2 : \frac{19}{5}

Maximum (- \frac{3}{5}, \frac{19}{5})

Popular Examples

extreme f(x)=x^3+y^3-6xy+27 extreme points

f (x) = x^{3} + y^{3} - 6 x y + 27

extreme f(x)=4(x^{(10/3)})-10(x^{(4/3)})extreme points

f (x) = 4 (x^{(\frac{10}{3})}) - 10 (x^{(\frac{4}{3})})

extreme f(x)=x^2+x-30 extreme points

f (x) = x^{2} + x - 30

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

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

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

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

Frequently Asked Questions (FAQ)

What is the extreme y=-5x^2-6x+2 ?
The extreme y=-5x^2-6x+2 is Maximum(-3/5 , 19/5)