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NDA | Maths | calculus

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Question 1

Let f(x + y) = f(x) f(y) and f(x) = 1 + xg(x) ϕ(x), where

and

Then what is f’(x) equal to?

Question 2

If f(x) = sin (cos x), then f’(x) is equal to

Question 3

Find the value of

Question 4

Direction: Let f(x) = [x], where [.] is the greatest integer function and g(x) = sin x be two real valued functions over R.

Which of the following statements is correct?

Question 5

Direction: Let f(x) = [x], where [.] is the greatest integer function and g(x) = sin x be two real valued functions over R.

Which of the following statements are correct?

1) (fof) (x) = f(x).

2) (gog) (x) = g(x) only when x = 0.

3) (go(fog)) (x) can take only three values.

Select the correct answer using the code given below :

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