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Simple Derivatives Flashcards | StudBud
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Simple Derivatives
Simple Derivatives
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Flashcards
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Questions
15
Answers
1
What's your favorite topic so far?
Continuity & Differentiability
Derivatives
Equations of Tangent Lines
Limits
2
If this line represents the tangent line, what do you know about f(x) at this point?
f(x) is positive
f(x) is increasing
f(x) is decreasing
Nothing--I know nothing.
3
True or False: Continuity implies Differentiability
TRALSE
TRUE
FALSE
4
Where are the tangent lines on this graph?
Trick question--they are the curve!
below the curve
above the curve
5
What is the best way to be successful in Calculus?
copy your friend's homework
No one can be successful in Calculus
copy straight off livebinders and turn it in--automatic 100!
try homework problems first without looking at Livebinders
6
What's the derivative of -5x
-2
?
10x-3
-10x-3
10x
10x-1
7
What's the derivative of x
-3
-3x-2
-3x
3x-4
-3x-4
8
What does it mean for a function to have a horizontal tangent at x?
The tangent line is undefined at x
The tangent line has no slope at x
The function is not differentiable at x
The derivative is equal to zero at x
9
What's the derivative of 3x
4
+ 5x?
7x3 + 5
12x + 5
12x3 + 5
12x4 + 5
10
What's the derivative of 7x
4
+ 3x
2
- 2x - 5
28x4 + 6x2 - 2
28x4 + 6x2 - 2 - 5
28x3 + 6x - 2
28x4 + 6x2
11
What's the derivative of any constant?
1
Yo momma
0
12
Where can a function NEVER be differentiable?
At a discontinuity
At a cusp
At a corner
At a vertical tangent
13
Where are the tangent lines to this graph?
above the curve
where ever I draw them
below the curve
14
What's the derivative of 5x
6
+ 8x
2
+ 10?
30x6 + 16x2
30x6 + 16x2 + 10
30x5 + 16x + 10
30x5 + 16x
15
True or False: If a function is differentiable at x = c, then it must be continuous at x = c
Truth.
Naw, brah
