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Duplicate of Product Rule, Chain Rule, and Trig Derivatives Flashcards | StudBud
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Duplicate of Product Rule, Chain Rule, and Trig Derivatives
Duplicate of Product Rule, Chain Rule, and Trig Derivatives
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Basic quiz covering derivatives, chain rule, Product rule. #calculus #derivatives
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Questions
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Answers
1
What is the derivative of f(x)=sec(4x
2
)
8xsec(4x2)
sec(8x)tan(8x)
8xsec(4x2)tan(4x2)
sec(4x2)tan(8x)
2
What is the derivative of f(x)= cot(x
4
)
-csc2(x4)+4x3
-4x3csc2(x4)
-csc2(x4)
-4x3sec2(x4)
3
What is the derivative of f(x)=x
5
cosx
-5x4cosx
5x4cosx-x5sinx
5x4cosx+x5sinx
-5x4sinx
4
What is the derivative of f(x)=sin(x)+4
cos(x)
-cos(x)
sin(x)
cos(x)+4
5
What is the derivative of y=cos
2
(5x
7
)?
-70x6sin(5x7)
70x6cos(5x7)sin(5x7)
-70x6cos(5x7)sin(5x7)
-35x6sin(5x7)
6
what is the derivative of f(x)= xsec(x)
xsec(x)tan(x)
xsec(x)tan(x)+sec(x)
sec2(x)+xsec(x)
sec(x)tan(x)
7
What is the derivative of f(x)= 5/x
3
-15/x2
-15x2
-15x4
-15/x4
8
What is the derivative of f(x)=(2x+1)
3
12(2x+1)
6(2x+1)2
3(2)2
3(2x+1)2
9
answer below
(1/3)x-2/3+(1/5)x-4/5
(1/3)x-2/3(1/5)x-4/5
(-1/3)x-2/3+(1/5)x-4/5
(1/3)x-1/3+(1/5)x-1/5
10
What is the derivative of f(x)=tan(x)+x
3
sec2(x)+3x
sec2(x)+3x2
csc2(x)+3x2
tan(x)+3x2
11
What is the derivative of f(x)=cos(x)tan(x)?
cos(x)
sec2(x)cos(x)+sin(x)tan(x)
-sin(x)sec2(x)
sin(x)