Question

how do i find the derivative of : y=(4x^2/4)lnx-(x^4/16)

Answer 1

should i try factoring first?

Answer 2

I'm not sure factoring makes it easier. Then you have to use the products rule.

Answer 3

I'd probably just differentiate term by term.

Answer 4

when differntiating term by term, can i pull out the x^4/4 from that first term as a constant

Answer 5

If it's (4x^2)/4 that's the same as just x^2

Answer 6

i made a mistake, the first term should be (x^4/4)lnx

Answer 7

can i pull out that x^4/4 as a constant or do i have to use the product rule

Answer 8

?

Answer 9

No, just the 1/4 is a constant. x^4 is a variable term. You have to differentiate x^4(ln x) using the product rule.