Question

How do you find the derivative of the function `y=3x(6x-5x^2)`?

Answer 1

You have 2 options:
1) multiply by `3x` to get:
`y=18x^2-15x^3` and derive:
`y'=36x-45x^2`
2) Use the Product Rule:
`y'=3(6x-5x^2)+3x(6-10x)=`
`=18x-15x^2+18x-30x^2=36x-45x^2`