Recent questions in Critical Point

Differential CalculusAnswered question

Kira Yoder 2023-03-26

How do I find the y-intercept of a parabola?

Differential CalculusAnswered question

hor1paeeja 2023-03-25

What are the vertices of $9{x}^{2}+16{y}^{2}=144$?

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Ean Chapman 2023-03-23

How to find the center and radius of the circle ${x}^{2}+{y}^{2}-6x+8y=0$?

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Jefferson Simmons 2023-03-16

How to find the center and radius of the circle ${x}^{2}-12x+{y}^{2}+4y+15=0$?

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Shayla Phelps 2023-03-13

How to find the center and radius of the circle given ${x}^{2}+{y}^{2}+8x-6y=0$?

Differential CalculusAnswered question

Franco Avila 2023-03-11

How to find the center and radius of the circle ${x}^{2}+{y}^{2}+4x-8y+4=0$?

Differential CalculusAnswered question

chururiakop 2023-03-11

How to identify the center and radius of the circle ${(x+3)}^{2}+{(y-8)}^{2}=16$?

Differential CalculusAnswered question

June Bryan 2023-03-05

Three points lying on the same straight line are called collinear points. A)True B)False

Differential CalculusAnswered question

povzpetifkzf 2023-02-22

How to find the center of a circle given the three points (-3,5); (3,3); (11,19)?

Differential CalculusAnswered question

Jayla Gross 2023-02-21

How many endpoints does a straight line have?

A)Zero

B)One

C)Two

D)Three

A)Zero

B)One

C)Two

D)Three

Differential CalculusAnswered question

Jaslyn Gordon 2023-02-18

How to find the center and radius of the circle with this equation: ${(x+6)}^{2}+{(y-4)}^{2}=36$?

Differential CalculusAnswered question

chaomeinguyzyp3 2023-02-18

How to find the center, vertices, foci and eccentricity of $\frac{{x}^{2}}{36}+\frac{{y}^{2}}{64}=1$?

Differential CalculusAnswered question

goldenlink7ydw 2023-02-17

How to Find the vertex, Focus, and directrix of the Parabola and sketch its graph $(x-3)+{(y-2)}^{2}=0$?

Differential CalculusAnswered question

Chanel Hunter 2023-02-16

How to find the center and radius of the circle ${(x+9)}^{2}+{(y-5)}^{2}=64$?

Differential CalculusAnswered question

mpifanahhf 2023-02-03

How to identify the vertices, foci, and direction of $\frac{{y}^{2}}{25}-\frac{{x}^{2}}{16}=1$?

Differential CalculusAnswered question

Erica Lin 2023-02-02

How to find the equation for the of the top half of a circle with radius 3?

Differential CalculusAnswered question

bonconseilmpc 2023-01-26

How to find a function whose graph is a parabola with vertex (-2,2) and that passes through the point (1,-4)?

Differential CalculusAnswered question

gheadarce 2022-12-01

One litre is equal to how many glasses of water?

Differential CalculusAnswered question

ingerentayQL 2022-11-28

Find the dot product, $a\cdot b$

$a\cdot ba=6i+5j,b=-5i+4j$

A.50

B.<1,9>

C.-10

D.<-30,20>

$a\cdot ba=6i+5j,b=-5i+4j$

A.50

B.<1,9>

C.-10

D.<-30,20>

A critical point is an important and special point on a graph of a function. It is associated with a local extremum (maximum or minimum) of the function, either in the x-direction or y-direction. It is also a point on the graph where the derivative of the function is either undefined or zero. In addition, the tangent line of the graph at the critical point is either parallel or perpendicular to the x-axis. Critical points are widely used in mathematics to solve a variety of problems such as solving equations, finding the area under a curve, and determining the global extrema of a function. Knowing the critical points of a function is essential for understanding the behavior of the function and its graph.