Critical Point Made Easy: Expert Advice Available!

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

hor1paeeja 2023-03-25

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

Ean Chapman 2023-03-23

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

Jefferson Simmons 2023-03-16

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

Shayla Phelps 2023-03-13

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

Franco Avila 2023-03-11

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

chururiakop 2023-03-11

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

June Bryan 2023-03-05

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

povzpetifkzf 2023-02-22

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

Jayla Gross 2023-02-21

How many endpoints does a straight line have?
A)Zero
B)One
C)Two
D)Three

Jaslyn Gordon 2023-02-18

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

chaomeinguyzyp3 2023-02-18

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

goldenlink7ydw 2023-02-17

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

Chanel Hunter 2023-02-16

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

Londyn Webb 2023-02-07

How to graph $x^{2} + {(y + 3)}^{2} = 9$ ?

mpifanahhf 2023-02-03

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

Erica Lin 2023-02-02

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

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)?

gheadarce 2022-12-01

One litre is equal to how many glasses of water?

ingerentayQL 2022-11-28

Find the dot product, $a \cdot b$
$a \cdot b a = 6 i + 5 j, b = - 5 i + 4 j$
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.

Differential Calculus

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