Which of the following functions is equal to its own derivative?

Which of the following functions has its derivative and integral both equal ?

Which of the following functions has/have their derivatives as (2)/(1+x^(2)) in the specified interval?

Which of the following functions are not derivable at x=0?

Which of the following pairs are equal functions ?

Which of the following does not make a nest of its own?

Which of the following rational numbers is equal to its reciprocal?

Find the derivative of the following functions using first principle of derivative. tan(x + 1) (ii) cot (x^(2) + 1)

Which of the following elements is placed on its own in the table to indicate its uniqueness?