1. Katie Bisciotti Alyssa Mayer Andrew Stacy
Rules of Derivatives
Katie Bisciotti
Alyssa Mayer
Andrew Stacy

2. Power Rule
The derivative of is When taking the derivative of a function using the power rule you first multiply the coefficient by the exponent and lower the power of the exponent by one

3. Product Rule
The derivative of is When taking the derivative of two functions being multiplied you take the derivative of the first times the original second plus the original first times the derivative of the second.

4. Quotient Rule
The derivative of is When taking the derivative of two functions being divided you take the derivative of the first times the original second minus the original first times the derivative of the second all of the second equation squared.

5. Implicit Differentiation
The derivative of is then get the portion of the equation alone so it looks like this and solve for to find the final answer

6. Derivatives of Logarithmic Functions
The derivative of is when taking the derivative of a logarithmic function you get one over the ln of the base times what you are taking the log of The derivative of is when taking the derivative of a ln equation you get one over what you are taking the natural log of

7. Chain Rule
The derivative of is When taking the derivative of one function inside another you first take the outer derivative then you multiply it buy the derivative of the inner function.

8. Derivatives of Trig Functions
The derivatives of trig functions are as follows:

9. Derivatives of Inverse Trig Functions
The derivative of is

10. Derivatives of Inverse Functions
If and are inverses of each other then the derivative of f(x) is and the derivative of g(x) is

11. Other Derivatives
The derivative of is when taking the derivative of exponential function you simply rewrite what you see and multiply by the derivative of the exponent The derivative of is when taking the derivative of a number raised to a function you rewrite what you see, multiply by the ‘ln’ of the base and multiply by the derivative of the exponent