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Duplicate of Derivatives Flashcards | StudBud

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Duplicate of Derivatives

12 terms·StudBud Administration

A Calculus Review of derivatives

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Questions 12

Answers

1
What do you find when you find the First derivative?
Concavity
sinx
nothing
slope of the tangent line
2
What is a critical point?
where the derivative is zero or the derivative DNE
a point that has a slope of 1
the slope of the entire line
nothing
3
How do you find a critical point?
Set derivative equal to zero and solve for x
Set equation equal to zero and solve for x
Set second derivative equal to zero and solve for x
Set second derivative equal to one and solve for x
4
dy/dx (x + 2)² - 5x³
15x2 + 2x + 4
-15x2 - 2x - 4
15x2 - 2x - 4
-15x2 + 2x + 4
5
What do you find when you find the second derivative?
concavity
nothing
slope of the tangent line
6
What is the derivative of sinx?
cosx
-cosx
-sinx
secxtanx
7
dy²/dx² 2x³+3x-6
6x2+3
2x3+3x-6x
6
12x
8
How do you find points of inflection?
Find the third Derivative of the function
Find the First Derivative of the function
Find the Second Derivative of the function
Multiply by the derivative
9
What is the derivative of cosx?
sinx
-cosx
-sinx
cosx
10
What is an inflection point?
nothing
where the slope changes
slope = 0
Where concavity changes
11
What is the derivative of tanx?
-csc2x
secxtanx
sec2x
sinx/cosx
12
Are critical points the same as inflection points?
Sometimes
No
Yes