Question

If y=sin x and y{n} means the nth derivative of y with respect to x then the smallest positive integer n for which y(n)=y is:________

Answer 1

   y4 = sin x is the smallest positive integer n .

What is a positive integer, exactly?

• If an integer is more than zero, it is positive; otherwise, it is negative. Zero is characterized as being neither positive nor negative.

What is a positive integer example?

A whole number, or a number whose decimal portion is 0, is another name for an integer. 72 is an illustration of a positive integer.

y = sin x

1 derivative of sin x -

y' =  cos x

2 derivative of cos x

y'' =  - sinx

3 derivative of sinx

y''' = - cos x

4 derivative of cos x

$y^{(4)} = sinx$

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