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- Trigonometric Functions And Derivatives

Trigonometric Functions and Derivatives
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of tan(x)?
sin^2(x)
tan^2(x)
cos^2(x)
sec^2(x)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the reciprocal of sec^2(x)?
cos^2(x)
tan^2(x)
1/cos^2(x)
1/sin^2(x)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which identity helps in translating between sec and tan?
tan^2(x) + sec^2(x) = 1
1 + tan^2(x) = sec^2(x)
sin^2(x) + cos^2(x) = 1
1 + sec^2(x) = tan^2(x)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of tan inverse with respect to y?
1/(1 + x^2)
1/(1 + y^2)
y/(1 + x^2)
x/(1 + y^2)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the function not have a vertical asymptote?
Because x^2 can be zero
Because x^2 is always positive
Because x^2 can be negative
Because x^2 is always zero
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the smallest value that x^2 can take?
1
0
2
-1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the function as x approaches infinity?
It becomes negative
It approaches one
It approaches zero
It becomes undefined
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