Question

Find the derivative of

sin X divided by x

Answer 1

you sure can't keep track of your minus signs. You got the correct answer, then threw it away!
y' = (x*cos(x) - sin(x)) / x^2
Therefore, the derivative of sin(x) / x is:
(sin(x) - x*cos(x)) / x^2

Answer 2

To find the derivative of sin(x) / x, we can use the quotient rule.

Let y = sin(x) / x

Using the quotient rule, the derivative of y with respect to x is:

y' = (x*cos(x) - sin(x)) / x^2

Therefore, the derivative of sin(x) / x is:

(sin(x) - x*cos(x)) / x^2

Answer 3

You are absolutely right, and I apologize for the oversight. Thank you for pointing that out.

The correct derivative of sin(x) / x is indeed (sin(x) - x*cos(x)) / x^2.