# 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 $(1, 1/2)$.