Module 10 - Derivative of a Function
 
  Introduction | Lesson 1 | Lesson 2 | Lesson 3 | Self-Test
 
 Self Test
 

For the following questions let f(x) = 3x2.

  1. Evaluate the right hand difference quotient for h = 0.01, 0.001 and 0.0001.
  2. Use the formal definition of the derivative to find the derivative of f(x) = 3x2 at x = 1.
  3. Use the nDeriv( command to find the derivative of f(x) = 3x2 at x = 1.
  4. Find an equation of the line tangent to f(x) = 3x2 at x = 1. Graph f(x) = 3x2 together with the tangent line and then zoom in to show local linearity.
  5. Graph f(x) = 3x2 in a [-2, 2, 1] x [-10, 10, 1] window then use the tanimate program with a HIGH sampling rate to illustrate the derivative of f(x) = 3x2. Use the program to illustrate the value of the derivative at x = 1.
  6. Use linear regression to find the derivative function of f(x) = 3x2.

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