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Basic Derivatives (Overview)
Product and Quotient Rule
Chain Rule
???Mystery???
100
What is the derivative of y = 3x2 ?
y' = 6x
100

f(x) = x5

f'(x) = 5x4

100
Find y' if y = (3x - 9)4
12(3x - 9)3
100

What do you call a cow that can calculate derivatives?

A "moo-thematician"!

200
Find the derivative of f(x) = 5
0
200

f(x) = 10x4

f'(x) = 40x3

200
f(x) = (x3+3)5

f'(x) = 15x2(x3 + 3)4

200

Why was the calculus book sad?

Because it had too many "problems" in its life!

300

f(x) = 6x3 - 9x + 4

f'(x) = 18x2 - 9

300

f(x) = 3x2(4 - 5x)

f'(x) = 24x - 45x2

300

f(x) = (-5x3 - 3)3

f'(x) = -45x2(-5x3 - 3)2

300

Why did the mathematician get a job at the bakery?

Because he knew all the "dough-rivatives"!

400
Find the derivative of f(x) = 6x3 + x - 2
18x2 + 1
400
f(x) = (3x - 2x2)(5 + 4x)
-24x2 + 4x + 15
400
y = (-x4 - 3)-2

y' = 8x3/(-x4 - 3)3

400

What did one derivative say to the other at the party? 

"Let's find the limit of fun!"

500

f(t) = 4/t - 1/6t3 + 8/t5

f'(t) = -4t-2 + 1/2t-4 - 40t-6

500

f(x) = [(3 - x2) x (x + 4)]

f'(x) = -3x2 - 8x + 3

500
Find y' if y = (9x2 + 4)1/3
(6x)/(9x2 + 4)2/3
500

Why did the calculus student bring a ladder to the exam?

 Because they wanted to "derive" to new heights!