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Popular >

extreme f(x)=14+4x-x^2

Solution

extreme points

f (x) = 14 + 4 x - x^{2}

Solution

Maximum (2, 18)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

14 + 4 x - x^{2} : 18

Maximum (2, 18)

Graph

Popular Examples

extreme f(x,y)=x^3+xy^2+y^2-4y+11 extreme points

f (x, y) = x^{3} + x y^{2} + y^{2} - 4 y + 11

extreme 8+2x-2x^2 extreme points

8 + 2 x - 2 x^{2}

extreme f(x,y)=10x^2+7xy+8y^2+8xy^2+9x^2y extreme points

f (x, y) = 10 x^{2} + 7 x y + 8 y^{2} + 8 x y^{2} + 9 x^{2} y

extreme f(x)=9-x,-1<= x<= 3 extreme points

f (x) = 9 - x, - 1 \leq x \leq 3

extreme ((x^3+9))/((x^2+4))extreme points

\frac{( x ^{3} + 9 )}{( x ^{2} + 4 )}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=14+4x-x^2 ?
The extreme f(x)=14+4x-x^2 is Maximum(2,18)