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Home / Calculus I / Derivatives / The Definition of the Derivative
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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