Question

How do you differentiate `p(y) = (y + ln(y)y^2(5y^3 + 9y^4)` using the product rule?

Answer 1

`1+ln(y) (25y^4 +54y^5) +(5y^4+9y^5)`

Explanation:

Write`p(y)= y +ln(y) *(5y^5 +9y^6)`

`p' (y) = 1 + ln(y) (25y^4+54y^5) +(1/y)(5y^5 +9y^6)`

=`1+ln(y) (25y^4 +54y^5) +(5y^4+9y^5)`