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Section 3-1 : The Definition of the Derivative

Use the definition of the derivative to find the derivative of the following functions.

  1. /(f/left( x /right) = 6/) Solution
  2. /(V/left( t /right) = 3 - 14t/) Solution
  3. /(g/left( x /right) = {x^2}/) Solution
  4. /(Q/left( t /right) = 10 + 5t - {t^2}/) Solution
  5. /(W/left( z /right) = 4{z^2} - 9z/) Solution
  6. /(f/left( x /right) = 2{x^3} - 1/) Solution
  7. /(g/left( x /right) = {x^3} - 2{x^2} + x - 1/) Solution
  8. /(/displaystyle R/left( z /right) = /frac{5}{z}/) Solution
  9. /(/displaystyle V/left( t /right) = /frac{{t + 1}}{{t + 4}}/) Solution
  10. /(Z/left( t /right) = /sqrt {3t - 4} /) Solution
  11. /(f/left( x /right) = /sqrt {1 - 9x} /) Solution

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