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Derivatives Rules
Derivatives Rules
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#AP Calculus #Derivatives
Flashcards
15 cards
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Practice quiz
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Questions
15
Answers
1
Evaluate the following:
-sec(x)tan(x)
-sec2(x)
sec2(x)
sec(x)tan(x)
2
Derive x
3
+ y
3
= 3
dy/dx = 3x2 + 3y2
dy/dx = -x2 / y2
dy/dx = 3x2 / y2
dy/dx = x2 / y2
3
The equation of the tangent line to the curve y = e
2x
through the origin is
y = 2x
y - 1 = 2e2x(x - 1)
y = 2x + 1
y - 1 = 2(x - 1)
4
If g(x) = f
-1
(x), then g
'
(x) =
B
A
C
D
5
Evaluate cos(π)
0
-1
√(2)
1
6
Evaluate the following:
-sin(x)
cos(x)
-cos(x)
sin(x)
7
The derivative of the velocity function is
speed
distance traveled
jerk
acceleration
8
If y = f(g(x)), then y
'
is
f'(g(x))g'(x)x'
f'(g(x))
f'(g'(x))
f'(g(x))g'(x)
9
Evaluate sin(π/2)
0
-1
1
√(2)
10
Evaluate the following:
ex
ln(x)
e
1/x
11
The derivative of the position function is
velocity
jerk
distance traveled
acceleration
12
Evaluate the following:
1/x
e
ln(x)
ex
13
Evaluate the following:
-cos(x)
cos(x)
-sin(x)
sin(x)
14
Evaluate the following:
-6cos(3θ)
-2cos(3θ)sin(3θ)
6cos(3θ)sin(3θ)
-6cos(3θ)sin(3θ)
15
Evaluate the following:
-tan(x)
sec(x)
tan(x)
1/cos(x)
