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Popular >

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

Solution

extreme points

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

Solution

Maximum (1, 12)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

- 3 x^{2} + 6 x + 9 : 12

Maximum (1, 12)

Popular Examples

extreme f(x)=x^2-xy+y^2-9x+6y+8 extreme points

f (x) = x^{2} - x y + y^{2} - 9 x + 6 y + 8

extreme x^3-4x^2 extreme points

x^{3} - 4 x^{2}

extreme f(x)=x^2+2*y^2-2*x*y-2*y extreme points

f (x) = x^{2} + 2 \cdot y^{2} - 2 \cdot x \cdot y - 2 \cdot y

extreme y=x^2-2x+6 extreme points

y = x^{2} - 2 x + 6

extreme f(xy)=x^3+4y^2-3x+1 extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-3x^2+6x+9 ?
The extreme f(x)=-3x^2+6x+9 is Maximum(1,12)