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Chain rule applied to trigonometric functions
When last we saw the chain rule, it was doing obscene things to functions, and the algebra to clean them up was horrendous!  Hang on, life gets better with trig functions.  Just don’t forget your chains! Chain Rule Versions of the Trig Derivatives
Ex 10 p. 135  Applying the Chain Rule to Trig functions u cos u  u’
Ex 11 p. 135  Parentheses and Trig Functions
To find derivative of form k(x)=f(g(h(x))), you need to keep chaining! (Apply the chain rule twice!)
Ex 13 p. 136  Tangent line of a Trig function Find the equation of the tangent line to the graph of at the point ( π , 1) To find slope, find  f ’( π ) :  To find tangent line
 
MEMORIZE! MEMORIZE! MEMORIZE! They aren’t yours to use until they are inside you, and they aren’t inside you until they are memorized!
2.4b p. 137 #4-6 all, 39-55 EOO, 71,81-89 odd

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Calc 2.4b

  • 1. Chain rule applied to trigonometric functions
  • 2. When last we saw the chain rule, it was doing obscene things to functions, and the algebra to clean them up was horrendous! Hang on, life gets better with trig functions. Just don’t forget your chains! Chain Rule Versions of the Trig Derivatives
  • 3. Ex 10 p. 135 Applying the Chain Rule to Trig functions u cos u u’
  • 4. Ex 11 p. 135 Parentheses and Trig Functions
  • 5. To find derivative of form k(x)=f(g(h(x))), you need to keep chaining! (Apply the chain rule twice!)
  • 6. Ex 13 p. 136 Tangent line of a Trig function Find the equation of the tangent line to the graph of at the point ( π , 1) To find slope, find f ’( π ) : To find tangent line
  • 7.  
  • 8. MEMORIZE! MEMORIZE! MEMORIZE! They aren’t yours to use until they are inside you, and they aren’t inside you until they are memorized!
  • 9. 2.4b p. 137 #4-6 all, 39-55 EOO, 71,81-89 odd