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Calculus AB Derivatives Flashcards | StudBud
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Calculus AB Derivatives
Calculus AB Derivatives
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Mr. Stephen's Third Term Final Stephen Crowell Corey Hayne Robbie Meadows Anthony Weng
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Questions
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Answers
1
What is the derivative of some constant, c?
0
c*-c1-c+c'
-cc-1
c2
2
What is the derivative of f(x)=b
u
where u is some function of x and b is some constant?
bu*u'
bu*ln(b)*u'
u*bu-1
bu*ln(b)
3
Simplify the expression:
2.25+6-4-2+(17/6)-(34/12)
4/9
Does not exist
(0*9)/(0)
4
What does the picture show?
Definition of a Derivative
L'Hopital's Definition of a Derivative
Alternative Definition of a Derivative
Limit Definition of a Derivative
5
What is the derivative of f(x)*g(x)?
f(x)*g(x)+f(x)*g(x)
f'(x)*g'(x)
f(x)*g(x)*f'(x)*g'(x)
f'(x)*g(x)+f(x)*g'(x)
6
By L'Hopital's rule, which of the following can be concluded? (Look at the picture)
lim x->a of f'(x)/g'(x)
lim x->a of f(x)/g(x)
lim x->a of f'(x)/g(x)
lim x->a of f(x)/g'(x)
7
Look at the following picture:
(1/u)*ln(b)*u'
u'/u
1/(u*ln(b))
u'/(u*ln(b))
8
Identify what the picture displays:
L'Hopitals' Definition of a Derivative
Limit Definition of a Derivative
Alternate Definition of a Derivative
Slope of a function f(x) at point (h, f(h))
9
What is the derivative of f(x)/g(x)?
[g(x)f'(x)-f(x)g'(x)]/g(x)
[g(x)f(x)-f(x)g'(x)]/(g(x)^2)
[g(x)f'(x)-f(x)g'(x)]/(g(x)^2)
[g(x)f'(x)-f(x)g(x)]/(g(x)^2)
10
What is the derivative of ln(u) where u is some function of x?
(eu)*(u-1)
u*ln(u-1)
1/u
u'/u
11
What is the derivative of c*f(x) where c is some constant?
(c-1)*f'(x)
0
f'(x)
c*f'(x)
12
What is the derivative of f(x)+g(x)?
f'(x)+g(x)
f'(x)g(x)+f(x)g'(x)
f'(x)+g'(x)
f(x)+g'(x)
13
What is the derivative of e
u
where u is some function of x?
u'*eu
eu*u'
u*eu-1
(eu)*u
14
What is the derivative of f(g(x))?
f'(g(x))*-g(x)-1
f'(g(x))*g'(x)
f(g(x))*g(x)
f'(g(x))*g(x)
15
For f(x) to be differentiable at point (c,f(c)), which answer does not have to be true?
f(c) exists
lim x->c of f(x) =/= 0
lim x->c of f(x)=f(c)
lim x->c of f(x) exists
