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Calculus - Differentiation - the Quotient Rule.
Test Yourself 2.


 

Differentiate each of the following equations using the Quotient Rule:

No rule. 1.

Hint. The expression in the numerator is suspiciously like that in the denominator. The signs have been reversed.
So factorising out -1 makes the two terms the same and they cancel.
So what is the derivative of -1?
You could also apply the quotient rule to confirm your answer. This question came from a test paper!!
2.  
No brackets. 3.   4.  
  5.   6.  
Chain rule in numerator only. 7.   8.  
Chain rule in denominator only. 9. 10.
  11.   12.  
Miscellaneous. 13. (3x-7)/(3 + 2x) 14.  
  15.   16.