Question

Find the derivative of the function f(x) = (x^2 - 1)(x^2 - 2).

Answer 1

do you know about product rule ?

Answer 2

no...

Answer 3

that doesn't mean my class didn't learn it. I've been out for a while

Answer 4

\((fg)' = f'g + fg'\)

Answer 5

let u and v be the 2 functions of 'x'
then,
\(\large (uv)' = u'v+uv'\)

Answer 6

You could try distributing?

Answer 7

It is less work to expand and just apply the power rule.

Answer 8

here, take u= x^2-1
v=x^2-1

OR, as lui mentioned, you can distribute!
in which case you won't need product rule at all!

Answer 9

i am confused

Answer 10

This is what @Luigi0210 meant by distribution, now just find the derivative of this by using the power rule.