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Calculus: Derivatives, Trig, Continuity, Differentiability Flashcards | StudBud
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Calculus: Derivatives, Trig, Continuity, Differentiability
Calculus: Derivatives, Trig, Continuity, Differentiability
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1
A function is differentiable at a point "a" if f'(x) exists
False
True
2
Find the anti derivative of cos(x)
cos(x)
sin(x) + c
sin(x)
-cos(x) + c
3
What is the sine of 270 degrees?
-1
1/2
0
1
4
What is the degree at 2pi/3 ?
120 degrees
135 degrees
240 degrees
150 degrees
5
Find the derivative of f(x)= (5x^2 + 3)^4
4(5x^2 + 3)^3(10x)
20x^2 + 12
4(5x^2 + 3)^3
(10x)^4
6
Find the derivative of f(x)= 4x^2-6x
4x-6
8x
8x-6
4x^2
7
What is the cosine at 210 degrees ?
-1/2
-1
-sqrt3/2
Sqrt2/2
8
A function is continuous at a if f '(a) exists.
False
True
9
derivative of sin(x)
cos(x)
sin(x)
-cos(x) + c
sin(x) + c
10
A function f is continuous at "a" if...
f(a) = lim (x ->a)
all of the above
f(a) exists
lim (x ->a) exists
11
Extreme values only occur at critical values
True
False
12
1/sqrt(1-x^2) is the derivative of what?
secx
arctanx
sinx
arcsinx
13
Find the derivative of (7x^3 + 2)^5
5(7x^3 + 2)
5(7x^3 + 2)^4(21x^2)
21x^2
35x^3 + 10
14
What is the derivative of y = arctanx
1/sqrt(1-x^2)
1/(cosx)^2
-1/sqrt(1 + x^2)
1/(1 + x^2)
