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Question

Match the following functions to their derivatives?
FunctionDerivativesa) sin1x1) 1|x|x21b) cos1x2) 11+x2c) tan1x3) 1|x|x21d) sec1x4) 11+x2e) cot1x5) 11x2f) cosec1x6) 11x2

A
a-6, b-5, c-4, d-3, e-2, f-1
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B
a-5, b-6, c-4, d-3, e-2, f-1
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C
a-6, b-5, c-3, d-4, e-2, f-1
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D
a-6, b-5, c-3, d-2, e-1, f-2
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Solution

The correct option is A a-6, b-5, c-4, d-3, e-2, f-1
Try to recall that all the functions mentioned in the questions are standard inverse trigonometric functions whose derivatives were mentioned in the videos. In case you forgot some, following are the derivatives.
sin1x=11x2
cos1x=11x2
[This is -1 times the derivative of sin1]
tan1x=11+x2
sec1x=1|x|x21
cot1x=11x2
[This is -1 times the derivative of tan1]
cosec1x=1|x|x21
[This is -1 times the derivative of sec1]
Try to remember them as it will save your time in problem solving.

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