Chain Rule Practice: d/dx (cos2x*sinx) = cos3x-2sin2x*cosx?

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SUMMARY

The derivative of the function d/dx (cos(2x) * sin(x)) is confirmed to be cos(3x) - 2sin(2x) * cos(x). This conclusion is reached through the application of the product rule and trigonometric identities. The discussion clarifies the steps involved in differentiating the product of two trigonometric functions, ensuring accuracy in the final expression.

PREREQUISITES
  • Understanding of the product rule in calculus
  • Familiarity with trigonometric functions and their derivatives
  • Knowledge of trigonometric identities
  • Basic skills in differentiation techniques
NEXT STEPS
  • Study the product rule in calculus in detail
  • Explore trigonometric derivatives and their applications
  • Practice using trigonometric identities in calculus problems
  • Learn advanced differentiation techniques, such as implicit differentiation
USEFUL FOR

Students studying calculus, mathematics educators, and anyone looking to improve their skills in differentiation of trigonometric functions.

Riles246
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Homework Statement



d/dx (cos2x*sinx)

The Attempt at a Solution



Does this equal cos3x-2sin2x*cosx ?
 
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It sure does.
 

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