Derivatives of sinx and cosx

Derivatives of sinx and cosx
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2018-04-26 11:25
This example demonstrates the derivatives of the sine and cosine functions, y=sinx and y=cosx, including their graphs and geometric interpretations. Key math concepts involved are the definition of derivatives, geometric meaning, and properties of sine and cosine functions. GeoGebra commands used include If, Tangent, Slope, Derivative, Segment, etc. It is suitable for high school students learning calculus to visually understand the concept and calculation of derivatives.

GeoGebra Commands & Parameters

  1. If(bool6, sin(x), cos(x)) → f
  2. Tangent(A, f) → h
  3. Slope(h) → m
  4. Derivative(f) → f'
  5. Segment(C, B) → g