Question

differentiate the function. (t^2+2)/(t^4-3t^2+1) Ive gotten to here and I'm a little stuck. y'= [(t^4 - 3t^2 +1) (2t) - (t^2 +2) (4t^3-6t)]/(t^4-3t^2+1)^2

Answer 1

You are exactly right. Now, all that is left is simplification.

Answer 2

my algebra is weak, which is why im having problems

Answer 3

Ah. You want to expand each of the polynomial products and subtract on the numerator. On the denominator, you want to expand (t^4 - 3t^2 + 1)(t^4 - 3t^2 + 1). Maybe show us your work?

Answer 4

factor out each group of the numerator?

Answer 5

im lost