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Popular >

extreme-2x^2-6x

Solution

extreme points

- 2 x^{2} - 6 x

Solution

Maximum (- \frac{3}{2}, \frac{9}{2})

Solution steps

f^{'} (x) = - 4 x - 6

Find intervals:

Increasing

: - \infty < x < - \frac{3}{2},

Decreasing

: - \frac{3}{2} < x < \infty

Plug

x = - \frac{3}{2}

into

- 2 x^{2} - 6 x : \frac{9}{2}

Maximum (- \frac{3}{2}, \frac{9}{2})

Graph

Popular Examples

critical f(x)=(x^3)/(x^2-1)critical points

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

domain of x^2+3x+1 domain

x^{2} + 3 x + 1

inflection f(x)=3+4x^2-1/2 x^4 inflection points

f (x) = 3 + 4 x^{2} - \frac{1}{2} x^{4}

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

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

slope of x-2y=2 slope

x - 2 y = 2

Frequently Asked Questions (FAQ)

What is the extreme-2x^2-6x ?
The extreme-2x^2-6x is Maximum(-3/2 , 9/2)