- Topics At a Glance
**Derivatives of Basic Functions**- Constant Functions
**Lines**- Power Functions
- Exponential Functions
- Logarithmic Functions
- Trigonometric Functions
- Derivatives of More Complicated Functions
- Derivative of a Constant Multiple of a Function
- Multiplication by -1
- Fractions With a Constant Denominator
- More Derivatives of Logarithms
- Derivative of a Sum (or Difference) of Functions
- Derivative of a Product of Functions
- Derivative of a Quotient of Functions
- Derivatives of Those Other Trig Functions
- Solving Derivatives
- Using the Correct Rule(s)
- Giving the Correct Answers
- Derivatives of Even More Complicated Functions
- The Chain Rule
- Re-Constructing the Quotient Rule
- Derivative of a
^{x} - Derivative of
*ln*x - Derivatives of Inverse Trigonometric Functions
- The Chain Rule in Leibniz Notation
- Patterns
- Thinking Backwards
- Implicit Differentiation
- Computing Derivatives Using Implicit Differentiation
- Using Leibniz Notation
- Using Lagrange Notation
- In the Real World
- I Like Abstract Stuff; Why Should I Care?
- How to Solve a Math Problem

We've seen lines before. The restroom at half-time, the blue things on notebook paper...and they were all over algebra. *y = mx + b*, anyone? Lines are a special case of polynomials. Once we master them, we'll be ready to add some power. As in the power of 2. Not rangers.

Example 1

Let |

Exercise 1

Find the derivative of the function *f*(*x*) = 3*x* + 5.

Exercise 2

Find the derivative of the function *f*(*x*) = 2*x.*

Exercise 3

Find the derivative of the function *f*(*x*) where *f* is the line that passes through the points (4,5) and (-1,-2).

Exercise 4

Find the derivative of the function *f*(*x*) = 4.

Exercise 5

Find the derivative of the function *f*(*x*) = 7(*x *- 1) + 3.