Sam Walsh

These rules find…

Product Rule

Use to find derivative of a product

Product Rule continued…

• Take this equation:

Set it up like:

Product Rule continued…•Plug things in to get a new equation:

ANSWER:

Quotient Rule

Use to find the derivative of a quotient

Quotient Rule continued…

take this equation:

Quotient Rule Continued…

Plug it in:

Quotient Rule Continued…

Simplify!

Practice

•f(x)= (x3)(x+x2)

• f(x)= (4x2 +5)/(x5)

•f(x)= (2x9 + 3x2)(4x3)

Challenge:

• f(x)= (7x2)(x4)/(3x5)

* Click on each problem to get the answer

* Also please note there are easier ways to do these! (

look at last slide)

The Easier Way…

Problem 1:

(x3)(x + x2)

Distribute

x4 + x5

Then find the derivative directly

4x3 + 5x4

Problem 2:

(4x2 + 5)/x5

Distribute

4x-3 + 5x-5

Find the derivative

-12x-4 – 25x-6

And so on…

Lesson: You might be able to simplify!

Answers

f’(x)= 4x3 + 5x4

Answers

f’(x)= -12x-4- 25x-6

Answers

f’(x)= 96x11 + 60x4

Answers

f’(x)= (21/9)