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Popular >

extreme f(x)=-x^2+4x+6

Solution

extreme points

f (x) = - x^{2} + 4 x + 6

Solution

Maximum (2, 10)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

- x^{2} + 4 x + 6 : 10

Maximum (2, 10)

Popular Examples

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

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

inverse of f(x)= 2/5 x-1 inverse

f (x) = \frac{2}{5} x - 1

extreme f(x)=x^4-8x^3 extreme points

f (x) = x^{4} - 8 x^{3}

periodicity of f(x)=sin(1/(4x-pi))+2 periodicity

f (x) = sin (\frac{1}{4 x - π}) + 2

perpendicular 15x-5y=20,(9,-1)perpendicular

15 x - 5 y = 20, (9, - 1)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+4x+6 ?
The extreme f(x)=-x^2+4x+6 is Maximum(2,10)