How do you differentiate #y=sinx/x^2#?
1 Answer
Explanation:
We have
We can differentiate it by two methods:
Method 1:
We will use the quotient rule, there is a way I like to remember it:
Denominator same, differentiation of numerator. Minus numerator same, differentiation of denominator whole divided by denominator squared
Differentiating with respect to x:
Method 2:
Simplifying:
We can now apply the product rule, there is a way I like to remember it:
First function same, differentiation of second function. Plus second function same, differentiation of first function
Differentiating with respect to x:
Rearranging the terms, we get:
I hope it helps!