AP Test Prep

Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)

The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work examples along with the presenter using the newly learned derivatives. 

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Additional Tags
Instructional Ideas
  • Create a graphic organizer to keep track of derivatives of additional derivative rules
Classroom Considerations
  • Assumes knowledge of natural logarithms
  • Requires the ability to evaluate trigonometric functions at points on the unit circle
  • Installment seven in an 11-part series
  • This video is hosted on YouTube
  • Provides an answer key that highlights important information in the question
  • Shows the steps in finding derivatives along with the arithmetic to show how the answer is derived
  • Includes additional practice to help toward mastery
  • None