Graph Matching
Product Rule
Quotient Rule
Trig Derivatives
Higher Derivatives
100
Fill in the Blanks:
When the graph of f(x) is increasing the graph of f'(x) is ___ the x-axis.
Above
100
What is the derivative of y=f(x)g(x)
y'=g'(x)f(x)+f'(x)g(x)
100
What is the formula for the derivative of f(x)/g(x)
g(x)f'(x)-f(x)g'(x)/(g(x))2
100
d/dx(cscx)
dy/dx=-cscxcotx
100
What is the notation for the nth derivative of a function
200
On what points on the graph of f(x) does the graph of f'(x) have x-intercepts?
Local Extrema/Local Maximums and Minimums
200
Find 
if y=(x2+1)(2x)
y'=2x2+2+4x2
or
y'=6x2+2
200
Find y' when y=1/x
y'=-1/x2
200
Find y' if y=(sinx+cosx)
y'=cosx-sinx
200
Find y'' when y=3x4+3x
y''=36x2
300
Use the link to match the graph with its derivative!
https://docs.google.com/presentation/d/1M4w4K_fLdFKWjJOvHurfy26Ht6v61zGlMNmxhntU0D8/edit?usp=sharing
The derivative of f(x) is graph 1
300
What is y' if y=(3x+2)(4x3)
y'=36x3+24x2+12x3
or
48x3+24x2
300
Find f'(x) when f(x)=x3/2x
f'(x)=4x3/4x2
or
x
or
x
300
Find if y=(cos4x)
=-4sin4x
300
Find y'' if y= 10x5-x3+13x2
y''=200x3-6x+26
400
What are the 3 conditions where the graph of the derivative of a function will not exist at a certain point.
Vertical Tangent Point, Cusp(sharp corner), discontinuity on the function graph
400
Find d/dx[(4x3+5x2)(3x2-1)]
=24x4+30x3+36x4-12x2+30x3-10x
or
50x4+60x3-12x2-10x
400
d/dx(3x+2/2x2)
dy/dx=-3x+4/2x3
400
What is y' if y=(tan2x)
y'=2tanxsec2x
400
Find d2y/dx2 when y=(4x2+7)(2x3)
d2y/dx2=160x3+84x
500
Use the link below to match the graphs! (Sorry I can't add images for free)
https://docs.google.com/presentation/d/1aMe_PNaNcyNZnHUid0dmTXCPjfbP-bkmXRt_6s7lRas/edit?usp=sharing
A and II
B and IV
C and III
D and I
500
Findif y=(5x3-2x4)(3x2+8x2)
=45x4+120x4-24x5-64x5+30x4-12x5+80x4-32x5
or
-132x5+275x4
500
Find y' when y=12x-5/2x+x2
y'=-12x2+10x+10/(2x+x2)2
500
Findif y=(cot310x)
=(3cot210x)(-10csc210x)
or
-30cot210xcsc210x
500
Find y'' when y=(3x3+ex)(2x4)
y''=252x5+ex2x4+2ex8x3+ex24x2
or
y''=252x5+ex(2x4+16x3+24x2)