
Derivatives
Presentation
•
Mathematics
•
12th Grade
•
Hard
Joseph Anderson
FREE Resource
3 Slides • 6 Questions
1
Higher Order Derivatives
When we just keep taking DERIVATIVES!
2
What are higher order derivatives?
When you continue to take the derivative of a function!
Each iteration uses the power rule
You can take derivatives infinitely!
3
Multiple Choice
y=3x2+5x-1
4
Multiple Choice
Find the second derivative of the function:
f (x) = 2x - 5x6
f ''(x)= 2 - 30x
f ''(x) = 2-30x5
f ''(x) = -30x5
f ''(x) = -150x4
5
Multiple Choice
Find f "'(x) when
f(x)=10x5 +3x4 -5x3 +2x2 -10x+6
200x3+36x2 -30x+4
600x2 +72x -26
600x2 +72x -30
600x2 +72x -36
6
Multiple Choice
Find the 2nd derivative of f(x) = ¾x½
3/4x-3/2
⅛x-½
-1/16x-½
-1/16x-3/2
7
Multiple Choice
Find the second derivative of the following functions with respect to x.
y=(x3+x)/x2
x+(1/x)
1-(1/x2)
2/x2
2/x3
8
Multiple Choice
Find the second derivative of the following functions with respect to x.
y=(3x+2)10
10(3x+2)9
30(3x+2)9
810(3x+2)8
270(3x+2)8
9
Sometimes...
You have to use the rules more than once to take the second derivative!
This is espcially true with chain rule problems!
Higher Order Derivatives
When we just keep taking DERIVATIVES!
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