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Popular >

extreme f(x)=-x^3+3x^2-3x+1

Solution

extreme points

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

Solution

Saddle (1, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

- x^{3} + 3 x^{2} - 3 x + 1 : 0

Saddle (1, 0)

Popular Examples

parity f(x)=-4x^6+6+x^4 parity

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

intercepts of f(x)=3x^2+1 intercepts

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

symmetry y=(9x)/(x^2+4)symmetry

y = \frac{9 x}{x ^{2} + 4}

asymptotes of f(x)= x/(x^2-5x+4)asymptotes

f (x) = \frac{x}{x ^{2} - 5 x + 4}

domain of f(x)= 5/(4/x-1)domain

f (x) = \frac{5}{\frac{4}{x} - 1}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^3+3x^2-3x+1 ?
The extreme f(x)=-x^3+3x^2-3x+1 is Saddle(1,0)