Introduktion til afledte

1 article
9 videoer
2 Ferdigheter
Oplev hvilken magi vi kan udlede, når vi tager den afledte, der er hældningen af tangenten i ethvert punkt på en kurve.

Den derivater som en tangentlinje

VIDEO 15:43 minutter
Forståelse av at den deriverte er stigningen til en kurve på et punkt (eller stigningen til en tangentlinje)

Tangent slope example 1

VIDEO 5:25 minutter
The slope of a tangent line can be expressed as the limit of certain secant lines.

Tangent slope example 2

VIDEO 6:05 minutter

Tangent slope example 3

VIDEO 3:46 minutter

Tangent slope

ØVINGSOPPGAVER
Test your understanding of a tangent line as the limit of secant slopes.

Slope of tangent line using derivative definition

VIDEO 8:28 minutter
The derivative can be thought of the slope of a tangent line, which is defined as the limit of the slopes of certain secant lines. See what this looks like in action.

Den deriverte av f (x) = x ^ 2 for x

VIDEO 11:05 minutter
Here we find a formula for the derivative of f(x)=x^2.

Tangent lines and rates of change

ARTICLE
How tangent lines are a limit of secant lines, and where the derivative and rate of change fit into all this.

Formell og alternerende form for den deriverte

VIDEO 4:53 minutter
Compare different (equivalent) definitions for the derivative.

Formell og alternerende form for den deriverte av ln x

VIDEO 5:46 minutter
Enough abstract stuff already, let's see what the formal and alternative forms of the derivative look like in practice.

Formal and alternate form of the derivative example

VIDEO 5:17 minutter
A practice problem applying the different forms of the derivative.

Den formelle og alternerende formen av den deriverte

ØVINGSOPPGAVER
Test your understanding of each definition of the derivative