Category Archives: Mathematics
Differentiation Quiz
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1. Question
Correct
IncorrectHint
Try putting
in place of x.
in place of x.Trigonometry Roots Method
Prove that, 
. Continue reading Trigonometry Roots Method →
Periodic Function Quiz
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1. Question
If f(x) = sin x - cos 2x + 2x - [2x], where [ ] denotes greatest integer function, then f(x) is
A) a periodic function with period
B) a periodic function with period
C) a periodic function with period 1
D) not a periodic functionCorrectThe periods of sin and cos functions are irrational numbers, whereas the period of 2x - [2x] = {2x} is 1 which is a rational number. The LCM of irrational numbers and rational number does not exist.
IncorrectThe periods of sin and cos functions are irrational numbers, whereas the period of 2x - [2x] = {2x} is 1 which is a rational number. The LCM of irrational numbers and rational number does not exist.
If f(x) = x + tan x and 
, then g'(x) is
If f(x) = x + tan x and g = f-1, then g'(x) is equal to
A) 
B) 
C) 
D) 
Continue reading If f(x) = x + tan x and , then g'(x) is →