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Popular >

extreme f(x)=x^2-12x+1

Solution

extreme points

f (x) = x^{2} - 12 x + 1

Solution

Minimum (6, - 35)

Solution steps

f^{'} (x) = 2 x - 12

Find intervals:

Decreasing

: - \infty < x < 6,

Increasing

: 6 < x < \infty

Plug

x = 6

into

x^{2} - 12 x + 1 : - 35

Minimum (6, - 35)

Popular Examples

parity sqrt(1+x^2sin^2(x)+x^2cos^2(x))parity

1 + x^{2} sin^{2} (x) + x^{2} cos^{2} (x)

critical f(x)=-x^2+2x-5 critical points

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

domain of f(x)=(x+1)/(sqrt(5x^2-16))domain

f (x) = \frac{x + 1}{5 x ^{2} - 16}

line (2,0),(3,1)line

(2, 0), (3, 1)

range of-2/(x+1)+2 range

- \frac{2}{x + 1} + 2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2-12x+1 ?
The extreme f(x)=x^2-12x+1 is Minimum(6,-35)