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Popular >

extreme f(x)=-2x^2-6x+20

Solution

extreme points

f (x) = - 2 x^{2} - 6 x + 20

Solution

Maximum (- \frac{3}{2}, \frac{49}{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 + 20 : \frac{49}{2}

Maximum (- \frac{3}{2}, \frac{49}{2})

Popular Examples

domain of f(x)=2x^3-x^2+2x-1 domain

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

inflection f(x)=4x^3-5x^2+2x-1 inflection points

f (x) = 4 x^{3} - 5 x^{2} + 2 x - 1

range of 3x-8 range

3 x - 8

intercepts of f(x)=x^3-10x^2+29x-20 intercepts

f (x) = x^{3} - 10 x^{2} + 29 x - 20

parallel y-3x=1 parallel

y - 3 x = 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-2x^2-6x+20 ?
The extreme f(x)=-2x^2-6x+20 is Maximum(-3/2 , 49/2)