Derivatives Flashcards

1

What is another word used to describe a derivative?

mass
weight
time
velocity

2

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)]

3

Which method would you use to evaluate a limit?

L'Hôpital's
Area of a Trapezoid
Intermediate Value Theorem
Riemann Sums

4

what is a second derivative commonly referred as?

positivity of a curve
heat of a potato after 27 minutes
acceleration
velocity

5

What is the derivative of f(x) = (3x+96)² (HINT: use chain rule)

6(3x+96)2
6(3x+96)
1 dollar
2(3x+96)

6

What is the derivative of f(x) = e^x

ex
2ex
xex
xe

7

What is the second derivative of f(x) = 4x⁴-16x³+2x

48t2-96t
16x3-48x2+2
48x2+96x
48x2-96x

8

What is this formula called?

Chain Rule
Limit Definition of a derivative
Slope Formula of a derivative
confusing

9

what is the derivative of f(x) = sin(b)

cos(b)
-cos(b)
Cosby
cos(x)

10

What can the use of derivatives help you find?

heat of a potato after 27 minutes
acceleration
length of a curve
slope

11

What is the fourth derivative of the function?

630t4 - 144t + 48
21t6 - 24t3 + 24t2 - 22
126t5 - 72t2 + 48t
2520t3 - 144

12

What is the derivative?

9x2 _ 9
x(3x2 -9) * (9x)

13

Who has been credited with creating Calculus?

Gottfried Leibniz
Albert Einstiein
Guillaume François Antoine, Marquis de l'Hôpital
Sir Issac Newton

14

What is the derivative of csc(u)

-(csc(u) cot(u)) u'
u'/u
-(csc2(u))u'
(sec(u) tan(u)) u'

15

What is the second derivative of the original function?

168z5 - 168z-9
4z7 - 3z-7 + 9z
168x5 - 168x-9
840z5 - 1512z-9

Derivatives

Questions 15

Derivatives

Questions 15