- 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

If we have a fraction where *c* is a constant, this is the same thing as . When asked to take derivatives of functions like this, the first thing we do is rewrite the original function to make it easier to see what we should do with it.

We can do the same thing when we have other less complicated functions in the numerator.

Example 1

What is the derivative of ? |

Example 2

What is the derivative of ? |

Exercise 1

Find the derivative of the function.

Exercise 2

Find the derivative of the function.

Exercise 3

Find the derivative of the function.

Exercise 4

Find the derivative of the function.