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Parametric equations, polar coordinates, and vector-valued functions

Parametric equations intro

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Parametric equations intro

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Parametric equations differentiation

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Parametric equations differentiation

4 spørsmål

Second derivatives of parametric equations

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Second derivatives (parametric functions)

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Second derivatives (parametric functions)

4 spørsmål

Vector-valued functions

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Vector-valued functions intro

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Vector-valued functions differentiation

(Opens a modal)

Second derivatives (vector-valued functions)

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Vector-valued functions differentiation

4 spørsmål

Second derivatives (vector-valued functions)

4 spørsmål

Planar motion

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Planar motion example: acceleration vector

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Motion along a curve: finding rate of change

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Motion along a curve: finding velocity magnitude

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Planar motion (differential calc)

4 spørsmål

Motion along a curve (differential calc)

4 spørsmål

Quiz 1

Identifiser forbedringspotensialet ditt i disse leksjonene:

Parametric equations intro

Second derivatives of parametric equations

Vector-valued functions

Polar functions

Lære

Polar functions derivatives

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Worked example: differentiating polar functions

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Øv

Differentiate polar functions

4 spørsmål

Tangeters polare kurver

4 spørsmål

Quiz 2

Identifiser forbedringspotensialet ditt i denne leksjonen:

Polar functions

Enhetsprøve

Test your understanding of Parametric equations, polar coordinates, and vector-valued functions with these 9 questions.

Om denne enheten

We are used to working with functions whose output is a single variable, and whose graph is defined with Cartesian, i.e., (x,y) coordinates. But there can be other functions! For example, vector-valued functions can have two variables or more as outputs! Polar functions are graphed using polar coordinates, i.e., they take an angle as an input and output a radius! Learn about these functions and how we apply the concept of the derivative on them.