Derivative of Sine different than Cosine?

[Simon3]

Hi everyone,

I have a question about the Derivatives component:

The first derivative of Sine function should be Cosine (+ a constant).

How comes when I want to plot the derivative’s y component, it is a way bigger curve?

And it’s even not the right type of curve, since it slopes differently than the Cosine when “scaled” down…

Might this have something to do with two types of derivation David is talking about here? Derivatives - Grasshopper

Or is my mistake in drawing just the y coordinate of the derivative’s vector?

Derivative of SIne.gh (20.6 KB)

Thanks for any help with this.

[laurent_delrieu]

Hello
Its is surely more a curvature than a derivative. Try with a constant slope line. Derivative is non null if non horizontal and curvature is surely 0.

Use tangent and make the division. X/Y

[Dani_Abalde]

You are mixing things up, the derivative is the measure of change, not a coordinate/position. In the sine you are measuring the derivative with respect to X, how y changes when x changes, while in the curve you are measuring with respect to the tangent, how position in the curve changes when t changes. So it simply doesn’t make sense to use the Y coordinates of how the tangent changes on the curve while ignoring how your derivate changes with respect to X.

[Dani_Abalde]