Question
Find the derivative of
sin X divided by x
sin X divided by x
Answers
GPT 3.5
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
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
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
y' = (x*cos(x) - sin(x)) / x^2
Therefore, the derivative of sin(x) / x is:
(sin(x) - x*cos(x)) / x^2
GPT 3.5
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.
The correct derivative of sin(x) / x is indeed (sin(x) - x*cos(x)) / x^2.