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Derivative Rules
Derivative Rules
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Review for AP Calculus AB exam #calculus #apexam #derivatives
Flashcards
20 cards
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Practice quiz
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Questions
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Answers
1
Find the y' if y = cos(7-x)
sin(7-x)
-cos(7-x)
cos(7-x)
-sin(7-x)
2
Write the equation of the
normal
line to the function f(x)=3x
2
+4 at x = 3.
y - 31 = 18(x - 3)
y - 31 = 18 (x - 3)
y -31 = (1/22) (x - 3)
y - 31 = (1/18)(x - 3)
3
Find dy/dx for sinx+cosy = 7
-cos x / cos y
cosx-siny
-cscy * cosx
sin y / cos x
4
Find dy/dx of 2π
2
2π
1
0
5
Find the derivative of tan
-1
(3x)
1/(3x+1)
3/(3x2 +1)
3/(9x2 +1)
3/(x2 +1)
6
Find the derivative of e
7x-4
y'=7e7x-4
y'=e7
y'=e7x-4
y'=-7e7x-4
7
Find f''(π) if f(x) = cos(2x)
4
-2
-4
0
8
If y = x
π
, then y' =
xπ *ln(x)
xπ+1/π+1
πxπ-1
xπ-1
9
If f and g are differentiable functions, and H(x) = √f(x) find H'(3).
1/4
4√10
2
2/√10
10
Find the derivative of y = sin(x)
y' = -sec x
y' = sec x
y' = cos x
y' = -cos x
11
If f and g are differentiable functions, and H(x) = f(x)*g(x), find H'(2).
-6
-7
-20
13
12
Find dy/dx for x
2
+ y
2
= 4
x/y
-x/y
2x+2y
-y/x
13
Find dy/dx if y = sec(2x)
2sec(x)tan(x)
sec(2x)tan(2x)
-2sec(2x)tan(2x)
2sec(2x)tan(2x)
14
If f and g are differentiable functions, and H(x) = f(g(x)), find H'(1).
6
-12
4
-6
15
If 𝒚=2
x
, then what is dy/dx?
2x+1 /(x+1)
2x *ln(2)
x*2x-1
ln(2)
16
Find the derivative of y = ln(2x-7)
(2x-7)/2
1/(2x-7)
(2x - 7)/ln(2x - 7)
2/(2x-7)
17
Find f'(x) if f(x) = cot(x+2)
-cot(x+2)csc(x+2)
cot(x+2)csc(x+2)
csc2 (x+2)
-csc2 (x+2)
18
Find the derivative of tan(4x+π)
4sec2 (4x+π)
-sec2 (4x+π)
-sec (4x+π)2
4sec(4x+π)tan(4x+π)
19
If f(x) = arcsin(5-2x), then f'(x) = ?
-2/√(1-(5-2x)2
2/√(1-(5-2x)2 )
-2arcsin(5-2x)-1
2/(1+(5-2x)2 )
20
Find the derivative of y = (3x-4)
100
y'=100(3x-4)99
y'=(3x-4)101 /101
y=3(3x-4)99
y'=300(3x-4)99
