Product Rule Worksheet 1 (Randomized Practice)

This GeoGebra example is an interactive worksheet for practicing the product rule in calculus. It randomly generates function expressions and asks students to find the derivative of a product of two functions, with immediate answer checking. The core mathematical concept is the product rule for derivatives: (uv)' = u'v + uv'. Construction highlights: the Random command generates random coefficients and exponents, FractionText displays fractional answers as text; objects include buttons (button1, button2) for generating new problems or revealing answers, text boxes (text1, text2, etc.) for problem and answer display, and variables a, b, c, d, e for storing random parameters. Suitable for high school or early college students learning calculus as a classroom exercise or self-study introduction, reinforcing the product rule through repeated practice.