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Popular >

extreme f(x)=-(x-1)^2+4

Solution

extreme points

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

Solution

Maximum (1, 4)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

- (x - 1)^{2} + 4 : 4

Maximum (1, 4)

Graph

Popular Examples

extreme f(x)=x^3-7x+1 extreme points

f (x) = x^{3} - 7 x + 1

extreme f(x)=x^3-7x+6 extreme points

f (x) = x^{3} - 7 x + 6

extreme f(x)=2x^3-6x^2-48x+9 extreme points

f (x) = 2 x^{3} - 6 x^{2} - 48 x + 9

extreme y=x^2-3x+2 extreme points

y = x^{2} - 3 x + 2

extreme f(x)=-2/5 x^{5/2}+32x^{1/2}extreme points

f (x) = - \frac{2}{5} x^{\frac{5}{2}} + 32 x^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-(x-1)^2+4 ?
The extreme f(x)=-(x-1)^2+4 is Maximum(1,4)