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Calculus - MP2, Derivatives Flashcards | StudBud
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Calculus - MP2, Derivatives
Calculus - MP2, Derivatives
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1
FIND DERIVATIVE: f(x)= (x-2)^2
1
4(x-2)
x2-4x+4
2(x-2)
2
FIND DERIVATIVE: g(x)=cos(e
x
)(x
2
+3)
DNE
-2xsinxe(x2+3)
-2sin(ex)(x2+3)+(2x)(cos(ex)
-exsin(ex)(x2+3)+(2x)(cos(ex)
3
FIND DERIVATIVE: f(x)= tan(3x
2
-1)
3
sec2(3x2-1)(6x)
3(3x2-1)2)sec2(3x2-1)(3x)
sec2(3x2-1)3
sec2(3x2-1)3(3(3x2-1)2)(6x)
4
FIND DERIVATIVE: y=7
1
undefined
0
7
5
FIND DERIVATIVE: f(x)= 4cos
2
(4x)
-8sin2(4x)(cos(4x))(4)
8cos(4x)(4)
-8sin(4x)(4)
8cos(4x)(-sin(4x))(4)
6
FIND DERIVATIVE: y=(3x
2
-4)
1/2
6x/(2(3x2-4)1/2)
(3x2-4)/2
3x/(2(3x2-4)1/2)
1/(2(3x2-4)1/2)