Handwritten Calc 1 Assignment (due 9.18.15)

In addition to handwriting this assignment, please complete our 4th WeBWorK assignment.  Note that on the Problem 5 of this WeBWorK assignment you need to differentiate the function

f(x) = \sqrt{x}

We have not yet discussed how to differentiate this function, but you can use our power rule to do it if you rewrite it as

f(x) = \sqrt{x} = x^{1/2}

Read section 1.8 carefully (and its examples) to see how to use the tangent line / linear approbation equation

L(x) = f(a) + f'(a)(x-a)

to approximate a desired value of a given function f(x).  In problem 5, for example, you are asked to approximate f(4.1) = \sqrt{4.1}.

Handwritten Assignment

  1. State the limit definition of f'(x).
  2. Use the limit definition of f'(x) to compute the first derivative of 1/x.
  3. Write the equation for the line tangent to f(x) = 1/x that passes through the point (1, 1/2).

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