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Duplicate of Core 4: Differentiating Trig Functions Flashcards | StudBud
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Duplicate of Core 4: Differentiating Trig Functions
Duplicate of Core 4: Differentiating Trig Functions
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Differentiating Trig Functions #trigonometry #mathematics #productrule #core3 #core4
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Questions
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Answers
1
Differentiate x
2
- sin(x)
x2 + cos(x)
x2 - cos(x)
2x - sin(x)
2x - cos(x)
2
Differentiate e
x
sin(x)
xexcos(x)
excos(x)
ex(sin(x) + cos(x))
excos(x) + sin(x)
3
differentiate y = tan2x
dy/dx = 2/cos22x
dy/dx = 1/cos2x
dy/dx = 1/sin22x
dy/dx = 1/cos22x
4
What is the gradient when x= pi/2 for y = sinx ?
√3/2
0
√2/2
1
5
Differentiate 3sin(x) - 4cos(x)
3cos(x) - 4sin(x)
3sin(x) + 4cos(x)
3cos(x) + 4sin(x)
4cos(x) + 3sin(x)
6
Differentiate cos(x)
-sin(x)
-cos(x)
cos(x)
sin(x)
7
Differentiate xsin(x)
xcos(x)
1 + cos(x)
sin(x) + xcos(x)
sin(x)
8
Differentiate y = tanx
dy/dx = 1/cos2x
dy/dx = 1/tan2x
dy/dx = 1/sin2x
dy/dx = 1/cosx
9
Differentiate sin(2x + 3)
2sin(2x + 3)
cos(2x + 3)
(2x + 3)cos(2x + 3)
2cos(2x + 3)
10
Differentiate sin
2
(x)
2cos(x)sin(x)
sin(2x)
cos2(x)
2sin(x)
11
Differentiate sin(3x)
3cos(x)
cos(3x)
3sin(3x)
3cos(3x)
12
Differentiate 4sin(2x)
sin(2x)
8cos(2x)
4sin(2x)
4cos(2x)
13
Differentiate sin(x)
sin(x)
-sin(x)
cos(x)
-cos(x)