Basic Derivatives
Product and Quotient Rule
Chain Rule
Trig
Miscellaneous
100
What is the derivative of y = 3x2 ?
y' = 6x
100
Find the derivative of y = 3x2 sin x
3x2 cos x + 6x sin x
100
Find y' if y = (3x - 9)4
12(3x - 9)3
100

Find the derivative of y= cos(x)

y' = -sin(x)

100

Where did Tobias spend her summer? 

the school or a baseball field

200
Find the derivative of f(x) = 5
0
200
f(x) = (3x - 2x2)(5 + 4x)
-24x2 + 4x + 15
200
Find the derivative of f(x) = sin 4x
4 cos 4x
200

Derivative of tan(x) is...

y' = sec2x

200

Where did Mr. Fisher go to high school? 

Concord

300
Find the derivative of f(x) = 6x3 + x - 2
18x2 + 1
300
Find the derivative of y = (5x - 2)/(x2 + 1)
(-5x2 + 4x + 5)/(x2 + 1)2
300
Find y' if y = (9x2 + 4)1/3
(6x)/(9x2 + 4)2/3
300

y = sin(3x)

y' = 3cos(3x)

300

How many dogs do Mrs. Tobias and Mr. Fisher have together? 

3

400
Find the derivative of f(x) = 3sinx - 2cosx
3cosx + 2sinx
400
Find the derivative of f(x) = (2x + 5)/(x)1/2
(2x - 5)/(2x3/2)
400
f(x) = sin3 4x Find f'(x)
12sin2 4x cos 4x
400

y=arctan(x)

y' = 1/(1+x2)

400

Find the derivative of y = cos(x2-2x)sin(3x4)

cos(x2-2x)*cos(3x4)*12x3+sin(3x4)*-sin(x2-2x)*(2x-2)

M
e
n
u