AP Calculus BC - Applying Derivatives to Analyze Functions | Desmos

Significant Figures

9

Expression 10: "n" equals 4

1

8

10

Expression 11: "S" Subscript, "t" "a" "t" "i" "s" "t" "i" "c" "s" , Baseline equals 1

0

1

11

Primary Input (Function, Interval)

12

Expression 13: "f" left parenthesis, "x" , right parenthesis equals StartFraction, "x" to the 4th power Over 625 , EndFraction negative StartFraction, 3 "x" squared Over 25 , EndFraction positive 1

13

Expression 14: left bracket, "x" Subscript, 1 , Baseline less than or equal to "x" less than or equal to "x" Subscript, 2 , Baseline , right bracket

14

Expression 15: "x" Subscript, 1 , Baseline equals negative 5

negative 10

10

15

Expression 16: "x" Subscript, 2 , Baseline equals 4

negative 10

10

16

Visual Representation Construction

17

46

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"x" Subscript, 1 , Baseline equals negative 5

"x" Subscript, 2 , Baseline equals 4

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Examples

Lines: Slope Intercept Form

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Lines: Point Slope Form

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Lines: Two Point Form

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Parabolas: Standard Form

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Parabolas: Vertex Form

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Parabolas: Standard Form + Tangent

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Trigonometry: Period and Amplitude

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Trigonometry: Phase

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Trigonometry: Wave Interference

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Trigonometry: Unit Circle

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Conic Sections: Circle

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Conic Sections: Parabola and Focus

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Conic Sections: Ellipse with Foci

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Conic Sections: Hyperbola

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Polar: Rose

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Polar: Logarithmic Spiral

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Polar: Limacon

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Polar: Conic Sections

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Parametric: Introduction

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Parametric: Cycloid

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Transformations: Translating a Function

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Transformations: Scaling a Function

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Transformations: Inverse of a Function

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Statistics: Linear Regression

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Statistics: Anscombe's Quartet

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Statistics: 4th Order Polynomial

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Lists: Family of sin Curves

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Lists: Curve Stitching

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Lists: Plotting a List of Points

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Calculus: Derivatives

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Calculus: Secant Line

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Calculus: Tangent Line

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Calculus: Taylor Expansion of sin(x)

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Calculus: Integrals

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Calculus: Integral with adjustable bounds

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Calculus: Fundamental Theorem of Calculus

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