# How do you differentiate #f(x)=sinx^2/x^2#?

##### 1 Answer

May 22, 2017

Use the quotient rule.

#### Explanation:

For

In this quotient,

This makes

and

# = ((2xcos(x^2))(x^2)-((sin(x^2)(2x))))/(x^2)^2#

# = (2x^3cos(x^2) - 2xsin(x^2))/x^4#

Every term has a factor of

# = (cancel(x)(2x^2cos(x^2) - 2sin(x^2)))/(cancel(x) x^3)#

# = (2x^2cos(x^2) - 2sin(x^2))/x^3#