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Derivatives Flashcards | StudBud
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Derivatives
Derivatives
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A #math #calculus Quiz to teach #derivatives for #fun
Flashcards
16 cards
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Questions
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Answers
1
What is the derivative of csc(u)
-(csc2(u))u'
u'/u
-(csc(u) cot(u)) u'
(sec(u) tan(u)) u'
2
Who has been credited with creating Calculus?
Guillaume François Antoine, Marquis de l'Hôpital
Albert Einstiein
Gottfried Leibniz
Sir Issac Newton
3
What is the second derivative of f(x) = 4x
4
-16x
3
+2x
16x3-48x2+2
48t2-96t
48x2+96x
48x2-96x
4
What is the derivative?
x(3x2 -9) * (9x)
9x2 _ 9
5
What is this formula called?
Slope Formula of a derivative
confusing
Chain Rule
Limit Definition of a derivative
6
What rule would you use to evaluate this derivative?
Quotient Rule (LoDiHi-HiDiLo / LoLo)
Chain Rule [n (f(x))n-1 * f'(x)]
NO RUNNING IN THE HALLS
Product Rule [f(x)g'(x) + g(x)f'(x)]
7
What is the second derivative of the original function?
168x5 - 168x-9
4z7 - 3z-7 + 9z
840z5 - 1512z-9
168z5 - 168z-9
8
What is the derivative of f(x) = e
x
xex
ex
2ex
xe
9
Who is the best calculus teacher EVER?
WRONG
Ms. Williams
WRONG
WRONG
10
What is another word used to describe a derivative?
mass
weight
velocity
time
11
Which method would you use to evaluate a limit?
Intermediate Value Theorem
L'Hôpital's
Area of a Trapezoid
Riemann Sums
12
What can the use of derivatives help you find?
length of a curve
heat of a potato after 27 minutes
acceleration
slope
13
what is a second derivative commonly referred as?
acceleration
positivity of a curve
velocity
heat of a potato after 27 minutes
14
What is the fourth derivative of the function?
21t6 - 24t3 + 24t2 - 22
2520t3 - 144
126t5 - 72t2 + 48t
630t4 - 144t + 48
15
what is the derivative of f(x) = sin(b)
-cos(b)
cos(x)
Cosby
cos(b)
16
What is the derivative of f(x) = (3x+96)
2
(HINT: use chain rule)
2(3x+96)
6(3x+96)
6(3x+96)2
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