Higher Order Derivatives

Presentation

•

Mathematics

•

12th Grade

•

Medium

•

CCSS

HSF.IF.A.2

Standards-aligned

W. Beaton

Used 50+ times

FREE Resource

3 Slides • 6 Questions

Higher Order Derivatives

When we just keep taking DERIVATIVES!

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!

Multiple Choice

Find the second derivative of the following functions with respect to x.
y=3x²+5x-1

6x+5

3x+5

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

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

Multiple Choice

Find the 2nd derivative of f(x) = ¾x^½

3/4x^-3/2

⅛x^-½

-1/16x^-½

-1/16x^-3/2

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

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

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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